(a) In the absence of gravity, the marbles collide at the x-coordinate corresponding to the initial position of marble 1.
(b) Considering gravity, we calculate the time of flight for marble 2 and then find its horizontal distance traveled to determine the collision point.
To solve this problem, we'll first determine the time it takes for each marble to collide in the absence of gravity, and then we'll consider the effect of gravity to find the collision point with it. We'll use the kinematic equations for projectile motion.
Given:
Marble 1: Horizontal launch with speed v1 = 4.20 m/s and initial height h1 = 0.950 m.
Marble 2: Launched from ground level with speed v2 = 5.94 m/s at an angle.
(a) Collision point without gravity:
Time of flight for marble 1 (t1):
Using the kinematic equation: h = (1/2)gt^2
0.950 = (1/2)(0)t1^2
t1 = 0
Since marble 1 doesn't experience vertical motion, it remains at the initial height h1. Marble 2 will collide with marble 1 when it reaches the x-coordinate corresponding to the initial position of marble 1.
(a) Collision point with gravity:
Time of flight for marble 2 (t2):
Using the kinematic equation: h = v_iy t - (1/2)gt^2
0 = v_iy t2 - (1/2)gt2^2
Solving this quadratic equation for t2.
Horizontal distance traveled by marble 2:
x2 = v_ix t2
Collision point:
The collision point will have coordinates (x2, 0).
Stars release lots of energy in the form of what kind (or kinds) of light? A. visible only B. invisible only C. both visible and invisible
Answer: C. both visible and invisible
Explanation:
Stars not only emit light in the visible range of the electromagnetic spectrum (what our eyes can see), they also emit light that is "invisible" to our eyes, because we do not have the receptors to perceive those frequencies.
In this sense, among this invisible range is ultraviolet light and infrared, for example.
Therefore, among the proposed options, the correct one is C:
Both visible and invisible
Please help me with this question
A body is dropped from a height h from the state of rest. It covers a distance of 9h/25 in the last second. What is the height from which the body falls?(in meters)
A. 12.5
B. 1.25
C. 125
D. Zero
Answer:
C. 125
Explanation:
Given:
y₀ = h m
v₀ = 0 m/s
a = -10 m/s²
@ t − 1, y = 9/25 h m
@ t, y = 0 m
Find: h
Use constant acceleration equation:
y = y₀ + v₀ t + ½ at²
@ t:
0 = h + (0) (t) + ½ (-10) t²
0 = h − 5 t²
h = 5 t²
@ t − 1:
9/25 h = h + (0) (t − 1) + ½ (-10) (t − 1)²
9/25 h = h − 5 (t − 1)²
9/25 h = h − 5 (t² − 2t + 1)
9/25 h = h − 5 t² + 10 t − 5
0 = 16/25 h − 5 t² + 10 t − 5
Substitute:
0 = 16/25 (5 t²) − 5 t² + 10 t − 5
0 = 16/25 t² − t² + 2 t − 1
0 = -9/25 t² + 2 t − 1
0 = 9 t² − 50 t + 25
0 = (t − 5) (9t − 5)
t = 5/9 or 5
Since t > 1, t = 5.
Solving for h:
h = 5 t²
h = 125
The Sears Tower is nearly 400 m high. How long would it take a steel ball to reach the ground if dropped on the top? What will be it’s velocity the moment for it touches the ground?
1. 9.04 s
We can find the time taken for the steel ball to reach the ground by using the SUVAT equation:
[tex]d = ut + \frac{1}{2}gt^2[/tex]
where
d = 400 m is the distance
u = 0 is the initial velocity of the ball
g = 9.8 m/s^2 is the acceleration of gravity
t is the time
Solving the formula for t, we find the time taken for the ball to reach the ground:
[tex]t=\sqrt{\frac{2d}{g}}=\sqrt{\frac{2(400)}{9.8}}=9.04 s[/tex]
2. 88.6 m/s
The final velocity of the ball before it reaches the ground can be found by using the equation
v = u + gt
where
u is the initial velocity
g is the acceleration of gravity
t is the time
Here we have
u = 0
g = 9.8 m/s^2
Substituting the time of flight, t = 9.04 s, we find the final velocity:
[tex]v=0+(9.8)(9.04)=88.6 m/s[/tex]
A scientific theory Question 4 options: Holds the highest level of acceptance Explains a number of facts Uses specific hypotheses and descriptive laws that have been well-tested All of the above None of the above
Answer:
All of the above
Explanation:
Scientific theories are explanations of various well known facts. They are hypotheses that best explain a scientific phenomenon. More development of theories doesn’t make it acceptable.
Instead they have to supported by the results of several tests performed by employing proper scientific methods. It is only after several years of thorough scientific research a theory is accepted as the best explanation of a phenomenon. Unlike facts that are accepted as universal truths theories can be proven wrong over time .
Answer:
all of the above
Explanation:
If you have to choose between being unemployed and accepting a job you do not like, you are likely to experience which type of conflict?
Answer:
Avoidance-Avoidance
Explanation:
You don't want either, but you have to pick one.
Final answer:
The type of conflict that you would likely experience when having to choose between being unemployed and accepting a job you do not like is called an intrapersonal conflict.
Explanation:
The type of conflict that you would likely experience when having to choose between being unemployed and accepting a job you do not like is called an intrapersonal conflict. This type of conflict occurs within an individual when they have conflicting desires or goals. In this case, you may have the desire to be employed and financially stable, but also the desire to find a job that you enjoy and are passionate about.
find the average velocity of a bicycle that starts 100km south and is 120km south of town after 0.4 hours
Answer:
The average velocity is 50 km/h south
Explanation:
The average velocity of an object is its total displacement divided by
the total time taken.
That means it is the rate at which an object changes its position from
one place to another.
Average velocity is a vector quantity.
The SI unit is meters per second.
A bicycle that starts 100 km south and is 120 km south of town after
0.4 hour.
The displacement = 120 - 100 = 20 km south
The time = 0.4 hour
The average velocity = [tex]\frac{D}{T}[/tex], where D is the displacement
and t is the time
The average velocity of the bicycle = [tex]\frac{20}{0.4}=50[/tex] km/h
The average velocity is 50 km/h south
If you want it in meter per second, change the kilometer to meter
and change the hour to seconds
1 km = 1000 m
1 hour = 60 × 60 = 3600 seconds
The average velocity of the bicycle = [tex]\frac{50(1000)}{3600}=13.89[/tex] m/s south
5. How far has a cyclist traveled if she has been moving at 30 m/s for 5.0 minutes?
Answer:
9000 m
Explanation:
To calculate the distance traveled by cyclist, using the relation between distance, velocity and time as
d = v × t
Here, d is distance traveled, v is velocity and t is time taken.
We have, v = 30 m/s and t = 5 min = 5×60= 300 s.
Substituting these values in above formula we get
d = 30 m/s × 300 s
d = 9000 m.
Thus, the distance traveled by cyclist is 9000 m.
Which of the following best describes gravitational force?
A- An attraction between two objects that have mass.
B- An attraction between two objects due to their electrons.
C- The force that keeps atoms and molecules bound together.
D-The force that keeps objects from moving when they are at rest
this is for science class!!!!!!!!
The statement that best describes gravitational force is as follows:
An attraction between two objects that have mass.Thus, the correct option for this question is A.
What is Gravitational force?Gravitational force may be defined as a phenomenon that involves the force of attraction that occurs between objects that have significant masses in the universe, especially the attraction of the earth's mass to bodies near its surface.
This specific type of force is always applied to objects that have mass. This force generally works by attracting the mass object towards its surface. It is a type of universal attractive force which is directly proportional to the product of the masses of two bodies.
But still it is considered as the weakest force that significantly operating in the nature.
Therefore, the correct option for this question is A.
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Given the chemical formula, how is this substance MOST LIKELY classified? A) atom B) compound C) both atom and compound D) neither atom nor compound
The substance is most likely classified as a compound, consisting of two or more different elements chemically bonded together in fixed proportions, as indicated by its chemical formula.
Given the chemical formula, the substance is most likely classified as a compound. A compound is a substance composed of two or more different elements chemically bonded together in fixed proportions. Chemical formulas represent compounds by indicating the types and numbers of atoms of each element present in the compound.
For example, water has the chemical formula H2O, indicating that it consists of two hydrogen atoms (H) bonded to one oxygen atom (O). Similarly, carbon dioxide has the chemical formula CO2, indicating that it consists of one carbon atom (C) bonded to two oxygen atoms (O).
In contrast, an atom refers to the smallest unit of a chemical element that retains the properties of that element. While chemical formulas also represent individual elements (e.g., O2 for oxygen gas), they primarily represent compounds.
The option "neither atom nor compound" doesn't accurately describe the classification based on a chemical formula. Chemical formulas specifically represent compounds, not individual atoms or substances that are neither atoms nor compounds.
Therefore, based on the chemical formula provided, the substance is most likely classified as a compound.
What is the focus of community psychology
The focus of community psychology is to improve the quality of one’s life through prevention and second order change.
Explanation:
Community psychology travels beyond an individual approach and integrates “social, cultural, environmental and international influences” to promote positive change. Additionally, it makes health and personal responsibility at the individual and system levels. It uses different psychological and external perspectives to address the attitudes and behavior of communities, their relationships and the people involved.
Community psychologists try to promote healthy and empowering groups and communities. They use concepts and knowledge from various disciplines, such as social, ecology, and intercultural psychology. Second-order change means paying attention to the system and structures that are involved in the problem to suit the human-environment good.
select all answers that apply.
which of the following words or phrases describe weather conditions?
A. less predictable
B. long term
C. always changing
D. expected
E. day-to-day
A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 second. what is his new velocity?
Answer:
26 m/s
Explanation:
When drawing a Bohr diagram for a hydrogen atom, if the element is in the 4th
excited state how many energy shells would you draw?
7
Explanation:
its obv 7 cuz each shell contains a certain mass
When drawing a Bohr diagram for a hydrogen atom in the 4th excited state, five energy shells must be drawn. This includes the atom's base state plus the four excited states.
Explanation:In the context of a Bohr diagram for a hydrogen atom, when the atom is in the 4th excited state, you would draw five energy shells. The reason is that the base state of the atom is counted as the first energy level, or shell. So, for each excited state, you're essentially adding one more energy shell. Hence, for the 4th excited state, we count the base state plus the four excited states, which gives us a total of five energy shells.
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list these liquids from densest to least dense: water, oil, gasoline, seawater, and corn syrup.
Answer:
Greatest ~ Corn Syrup, Seawater, Water, Oil, Gasoline ~ Least
Explanation:
Density (g/mL)
Corn Syrup: 1.4 g/mL
Seawater: 1.029 g/mL
Water: 0.997 g/mL
Oil: 0.93 g/mL
Gasoline: 0.7489 g/mL
We have that for a list from densest to least dense we have
Corn syrup(1,380kg/m^3)Water (1026kg/m^3)Water (997kg/m^3)Oil(700–950 kg/m^3)Gasoline,(700–800 kg/m^3)
From the question we are told
list these liquids from densest to least dense:
Water,Oil,Gasoline,seawater, Corn syrup.
Generally
Density
This is simply defined as the ratio of mass to volume of a material or substance
Therefore
For a list from densest to least dense we have
Corn syrup(1,380kg/m^3)Water (1026kg/m^3)Water (997kg/m^3)Oil(700–950 kg/m^3)Gasoline,(700–800 kg/m^3)
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9. A wave on Beaver Dam Lake passes by two docks that are 40.0 m apart.
a. If there is a crest at each dock and another three crests between the two docks, determine the
wavelength.
b. If 10 waves pass one dock every 16.0 seconds, determine the period and frequency of the wave.
.
c. What is the speed of the wave?
Answers:
a) 10 m
b) time=1.6 s, frquency=0.625 Hz
c) 6.25 m/s
Explanation:
a) If there is a crest at each dock and another three crests between the two docks, and the wavelength [tex]\lambda[/tex] is the distance between to crests; this means we have [tex]4\lambda[/tex] in [tex]40 m[/tex]:
[tex]40 m=4\lambda[/tex]
Clearing [tex]\lambda[/tex]:
[tex]\lambda=\frac{40 m}{4}[/tex]
[tex]\lambda=10 m[/tex]
b) This part can be solved by a Rule of Three:
If 10 waves ---- 16 s
1 wave ----- [tex]T[/tex]
Then:
[tex]T=\frac{(1 wave)(16 s)}{10 waves}[/tex]
[tex]T=1.6 s[/tex] This is the period of the wave
On the other hand, the frequency [tex]f[/tex] of the wave has an inverse relation with its period [tex]T[/tex]:
[tex]f=\frac{1}{T}[/tex]
[tex]f=\frac{1}{1.6 s}[/tex]
[tex]f=0.625 Hz[/tex] This is the frequency of the wave
c) The speed [tex]v[/tex] of a wave is given by the following equation:
[tex]v=\frac{\lambda}{T}[/tex]
[tex]v=\frac{10 m}{1.6 s}[/tex]
Finally:
[tex]v=6.25 m/s[/tex]
All of the following show friction as a useful force, except _____.
the heat energy produced when two surfaces rub together
having to push a rough and heavy box across the floor to move it
the friction between your feet and the floor keeping you from slipping
the tread on tires helping the moving vehicle slow down and stop when necessary
Answer: having to push a rough and heavy box across the floor to move it
Explanation:
The Friction force is any force that is in opposite direction of the motion of an object or fluid due to the contact of this object or fluid with other bodies.
In this sense, there are different types of friction force thath are useful in different situations:
-The Static friction force prevents surfaces from slipping across each other. For example, the friction between your feet and the floor keeping you from slipping.
-The kinetic friction force as the force that helps the tires in a moving vehicle to slow down and stop when necessary.
However, if you want to push a heavy box across the floor to move it, the friction force will not be useful at all.
Answer:
having to push a rough and heavy box across the floor to move it
Explanation:
i recently did this question and got it right
Easy, answer quick! What is diffusion?
Answer:
Diffusion is net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration. The concept of diffusion is widely used in many fields, including physics, chemistry, biology, sociology, economics, and finance.
Explanation:
Diffusion is the passive transport of molecules from an area of higher concentration to an area of lower concentration until the same concentration is reached throughout a space. Only molecules that are soluble in the medium and can cross barriers will diffuse. Variations on diffusion include the processes of filtration and osmosis.
Explanation:Diffusion is a process by which molecules disperse in space in response to differences in concentration. It is a passive transport process, requiring no energy, occurring naturally in various situations such as the dispersal of a sample of gas in a closed container. Molecules move from areas of higher concentration to areas of lower concentration until equilibrium is reached where concentrations are equal throughout.
A principle of diffusion is that only substances which are soluble and can cross the membrane will diffuse through it. This is seen, for example, in the process of osmosis, which is the diffusion of water through a concentration gradient in living systems.
Importantly, in living organisms, the rate of diffusion must match the rate of oxygen uptake and carbon dioxide removal for the process to work effectively.
There are variations to this process, such as filtration and facilitated transport, which also move substances in response to a concentration gradient but may be enhanced by other factors such as pressure.
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A man pulls a 50 kilogram box 20 meters across the floor with the aid of a rope tied to the box. The rope makes an angle of 30 degrees with the horizontal. In pulling the box the man exerts a force of 100 newtons. How much work is done by the man?
Answer:
1732.05 J
Explanation:
The man is doing 100N of force on the rope at an angle of 30° where he is pulling a box 20 meters across the floor.
Work is equal to the force exerted in the direction of motion multiplied by the distance.
Mathematically, Work=F×D×CosineФ
where F=force in newtons
D=displacement in meters
Ф=the angle between the force vector and the direction of motion
Substitute values in formula
Work=100×20×cosine 30°
Work=100×20×0.86602540378
Work=1732.05 J
A rocket moves upward, starting from rest with an acceleration of +30.0 m/s2 for 5.00 s. It runs out of fuel at the end of this 5.00 s and continues to move upward. How high does it rise? m
Answer:
The distance covered by the rocket after fuel ran out is [tex]3442.04 m[/tex]
Explanation:
Given that the rocket moves with an acceleration [tex]a=30m/s^2[/tex]
time [tex]t=5 s[/tex]
Since the rocket starts from rest initial velocity [tex]u=0 s[/tex]
The distance it travelled within this time is given by [tex]s=ut+ \frac{1}{2} at^2[/tex] [tex]=0 \times 5+ \frac{1}{2} (30\times25)=375 m[/tex]
Velocity at this point is given by [tex]v=u+at[/tex]
[tex]v=0+30\times5=150m/s[/tex]
Given that at this height it runs out of fuel but travels further. Here final velocity [tex]v=0[/tex](maximum height), initial velocity[tex]u=150 m/s[/tex] and time to zero velocity [tex]t=\frac{v}{g} = \frac{150}{9.8} =15.3 s.[/tex]
Thus it travels [tex]15.3 seconds[/tex] more after fuel running out. The distance covered during this period is given
[tex]s= ut+\frac{1}{2} gt^2=150 \times 15.3+1/2 \times9.8 \times 15.3^2=3442.04 m[/tex]
a ball is rolled down hill with an initial velocity of 4.2 m/s. how far will it roll in 11.6s if it accelerates at 2.3m/s2
Explanation:
Given:
x₀ = 0 m
v₀ = 4.2 m/s
t = 11.6 s
a = 2.3 m/s²
Find: x
x = x₀ + v₀ t + ½ at²
x = 0 m + (4.2 m/s) (11.6 s) + ½ (2.3 m/s²) (11.6 s)²
x ≈ 203 m
Round as needed.
1. An advertisement says a car can go from 0 to 26.8 m/s in 6.2 sec. What is the
average acceleration of the car?
Explanation:
Average acceleration is change in velocity over change in time.
a = Δv / Δt
a = (26.8 m/s − 0) / 6.2 s
a = 4.32 m/s²
Round as needed.
The average acceleration of the car, which is the rate of change in velocity over time, can be calculated by using the formula (final velocity - initial velocity) / time. Substituting the given values, the average acceleration of the car is 4.32 m/s².
Explanation:In physics, acceleration is the rate of change of the velocity of an object with respect to time. It is a vector quantity, meaning it has both magnitude (amount) and direction.
According to the given question, the car's final speed is 26.8 m/s, the initial speed is 0 m/s, and the time taken to reach this speed is 6.2 sec.
Acceleration can be calculated using the formula: a = (v_f - v_i)/t, where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time.
Substituting the given values into the formula, we get: a = (26.8 m/s - 0 m/s) / 6.2 s = 4.32 m/s².
Therefore, the average acceleration of the car is 4.32 m/s².
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A top-fuel dragster accelerates from rest to a velocity of 100 m/s in 8s. What is the acceleration
Answer:
Explanation:
a=v-u/t
v=final velocity
u=initial velocity
u=0(when a body starts from rest the initial velocity is 0)
v=100m/s
t=8s
a=100-0/8
=12.5m/s²
How does a molecule form?
Answer:
Molecules are made up of atoms that are held together by chemical bonds. These bonds form as a result of the sharing or exchange of electrons among atoms. The atoms of certain elements readily bond with other atoms to form molecules. Examples of such elements are oxygen and chlorine.
Explanation:
A molecule forms from electrons shared between two atoms. The correct option is B.
Atoms join forces and engage in interaction to create molecules. To achieve a stable electron configuration, this frequently entails sharing electrons between atoms.
Covalent bonds, a sort of chemical bond, are made possible by this sharing of electrons.
The exchange of electrons between two atoms at their outermost energy levels, or valence shells, results in covalent bonds.
Atoms can acquire a more stable structure and fill their outermost energy levels by sharing electrons, just like the noble gases do.
The atoms can achieve a lower overall energy state thanks to this electron sharing, which makes the molecule more stable than the sum of its parts.
Thus, the correct option is B.
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Convert 9.065 m to
cm
90.65
906.5
9065
0.0965
SUBMIT ANSWER
Answer:
906.5 cm
Explanation:
1 m = 100 cm
9.065 m = 100 cm * 9.065 m = 906.5 cm
decide which of the following day-to-day activities might be considered aerobic exercise?
1.surfimg the web
2.taking a catnap
3.mowing the lawn
4.paying bills
Answer:
3. Mowing the lawn
Explanation:
Aerobic exercise is any type of cardiovascular conditioning.
Mowing the lawn is the only thing that is actively moving.
Answer:
3- MOWING THE LAWN
Explanation:
Mowing the lawn is an aerobic exercise because it is use on a daily basis. lawn mower is a machine that is used to cut grass surface.
Mowing the lawn help to burn calories and It is an exercise comparable to running.
Mowing the lawn by pushing it acts as a form of cardiovascular exercise which makes the heart and lungs work harder .
Mowing the lawn begin in the legs which build up strength and burn down calories from the constant movement and muscles in the lower back can also be worked by mowing the lawn.
A textbook is dropped from the second story stairs and free falls to the ground. What changes, if any, would be observed of the velocity and the acceleration of the textbook as it falls?
a.The velocity decreases
b.The velocity increases
c.The acceleration remains constantd.
Both B & C
Answer:
Option D) Both B and C
Explanation:
A textbook is dropped from the 2nd story stairs and falls freely. When an object falls freely, the only force acting on it is the force of gravity which results in a constant acceleration of g. So, whenever an object falls freely, its acceleration will be constant and equal to g(9.8 m/s²). Therefore, the acceleration of the textbook will remain constant. Option C is a correct option.
Since, the acceleration is constant and equal to 9.8 m/s², this implies that with every second, the velocity of the textbook will increase by 9.8 m/s. Since initial velocity is 0, the velocity after 1st second would be 9.8 m/s so that the acceleration is constant and equal to 9.8 m/s². Similar, after 1 sec the velocity is 9.8 m/s, so the velocity after 2 seconds would be 19.6 m/s so that the acceleration is constant and equal to 9.8 m/s². This way, after every second the velocity of the textbook, and every free fall object, increases by 9.8 m/s in ideal cases. So, option B is also correct.
Therefore, Both B and C are correct for the given scenario.
The textbook is in free fall motion because it is falling (in motion) due to gravity alone
The changes that will be observed are;
The velocity increases and the acceleration remains constant
The correct option is; Both B & C
Reason:
The type of motion of a text book dropped from the second story stairs is known as free fall motion
The kinematic equation of the motion is v = u + g·t
Where;
v = The velocity of the textbook
u = The initial velocity of the textbook = 0 m/s
t = The time after which it is dropped
g = The constant acceleration due to gravity ≈ 9.81 m/s²
Which gives;
v = g·t
Therefore, the velocity of the textbook increases as the time of free fall increases while the acceleration, g remains constant at 9.81 m/s²
Therefore, the correct option is both B & C
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Which would show an example of how physical changes are reversible? cutting a gold bar in two pieces and then putting the pieces next to each other burning a match and then relighting it melting tin and then cooling it into a mold combining sodium and chlorine to make the new material of table salt
Melting tin and then cooling it into a mold is an example of reversible physical changes.
Explanation:
When an object undergoes a change in size, state, or shape and not in their chemical compositions referred to as physical change. But chemical change occurs as a result of the change in substances composition. It also forms a new one by the combination/ breakage of one or more objects.
In the case of making gold cube into two pieces, there is no possibility of getting the original state again even the physical change happens. Match burning and relighting and sodium plus chlorine forming table salt show chemical change. But in tin melting and cooling it to form mold is the physical change i.e changes in state(liquid to solid) and are reversible too.
Answer:
yes, melting tin and then cooling it into a mold
Explanation:
Which would show an example of how physical changes are reversible?
cutting a gold bar in two pieces and then putting the pieces next to each other
burning a match and then relighting it
melting tin and then cooling it into a mold
combining sodium and chlorine to make the new material of table salt
I agree to hire you for 30days. You can decide between two methods of payment: either (1) $1000 a day, or (2) one penny on the first day, two pennies on the second day and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision, and justify it.
Answer:
2
Explanation:
The second payment method will be highly profitable.
We have a person who agreed to hire you for 30days. For the mode of payment he presented two offers to you - either $1000 a day or one penny on the first day, two pennies on the second day and continue to double your daily pay each day up to day 30.
We have to investigate which option will be the most profitable for you.
If you are being paid $500 every day for 1 month, then your monthly pay will be ?Your monthly pay will be = $500 x 30 = $15000
According to the question -
Scenario 1You selected first method of payment.
Therefore - $1000 a day for 30 days will be = $30000
Scenario 2You selected second method of payment.
Now -
For day 1 → $1
For day 2 → $2
For day 3 → $4
For day 4 → $8
For day 5 → $16
and so on.
We will get the following series (till n = 30)
1 + 2 + 4 + 8 + 16 + ......
Now - this sequence is a Geometric progression. The sum of n terms of a GP is given by -
[tex]$S_{n} = \frac{a(1-r^{n)} }{1-r} \;\;\;(r\neq 1)[/tex]
Substituting values, we get -
[tex]$S_{30} = \frac{1(1-2^{30)} }{1-2}[/tex]
On solving, we get -
S(30) = $1,073,741,823
Hence, the second payment method will be highly profitable.
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1. What is the speed of a truck that travels 10
km in 10 minutes?
Answer:
60 km an hour. If you travel 10 miles in 10 mins there are 60 minutes in an hour so your traveling 60 miles an hour
Explanation:
The speed of the truck is 16.67 m/s
To calculate the speed of the truck, we can use the following formula:
speed = distance ÷ time
In SI notation, we denote speed in meters per second.
So, we convert 10 km to meters (1 km = 1000 m)
⇒ (10 × 1000) m = 10000 m
Now, we convert 10 minutes to seconds (1 minute = 60 seconds)
⇒ (10 × 60) s = 600 s
∴ speed = 10000 m ÷ 600 s = 16.67 m/s
a boat is moving at 9 m/s and then accelerates 1.5 m/s/s for 10 seconds. what is the final speed?
The final speed of the boat is 24m/s. This is found by multiplying 1.5 by 10, then adding that number to the original speed, 9.
If you need more help, comment below and I'd be happy to assist.