Jack applies a force of 30 and move 90 kg box. What is the acceleration of the box?

Answers

Answer 1

Explanation:

Given , F = 30N and mass m = 90kg

°•° F = ma

=> a = F/m

=> a = 30/90

=> a = 1/3m/s^2

Answer 2

Final answer:

To find the acceleration of a 90 kg box with a force of 30 N applied, use Newton's second law of motion. The acceleration is calculated as 0.333 m/s².

Explanation:

To calculate the acceleration of a 90 kg box when a force of 30 N is applied, we can use Newton's second law of motion, which is F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration of the object. Rearranging the equation for acceleration gives us a = F / m.

In this case, F = 30 N and m = 90 kg. Plugging these values into the equation yields a = 30 N / 90 kg = 0.333 m/s². Therefore, the acceleration of the box is 0.333 meters per second squared (0.333 m/s²).


Related Questions

What are four examples of properties?

Answers

Explanation:

physical and chemical properties. Examples of physical properties are: color, smell, freezing point, boiling point, melting point, infra-red spectrum, attraction (paramagnetic) or repulsion (diamagnetic) to magnets, opacity, viscosity and density. There are many more examples.

The acceleration of segment D is m/s2. Rank segments A, B , C from least accelerations to greatest acceleration. Least
Greatest​

Answers

Segment D is -20 m/s squared

C

B

A

I know because I just did this

Final answer:

Segments A, B, and C can be ranked from least to greatest acceleration based on the given information.

Explanation:

The segments A, B, and C can be ranked from least to greatest acceleration as follows:

Segment C: The acceleration is zero, indicating that there is no change in velocity.Segment A: The acceleration is constant and positive, meaning there is a gradual increase in velocity.Segment B: The acceleration is constant and larger in magnitude than segment A, indicating a faster increase in velocity.

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A ball rolled 10 meters in 2 seconds. Its velocity is m/s

Answers

Answer:

velocity is 5m/s

Explanation:

data

d=10m

t=2sec

v=?

from

v=d/t

v=10m/2s

v=5m/s

Its SPEED is (10m/2s) = 5 m/s .

It's not possible to determine its velocity from the given information, because we don't know the direction in which it rolled.

5. How much does a suitcase weigh if it has a mass of 22.5 kg?

Answers

Answer:

Weight of the suitcase, W = 220.5 N

Explanation:

It is given that,

Mass of the suitcase, m = 22.5 kg

Let W is the weight of the suitcase. The weight of an object is equal to the force acting on it due to the gravity. It is given by the product of mass and acceleration due to gravity.Mathematically, it is given by :

W = mg

[tex]W=22.5\times 9.8[/tex]

W = 220.5 N          

So, the weight of the suitcase is 220.5 N. Hence, this is the required solution.              

The weight of the suitcase is 220.5 Newton.

Given the following data:

Mass of suitcase = 22.5 kilograms.

We know that acceleration due to gravity (a) for an object is equal to 9.8 meter per seconds square.

To find how much this suitcase weigh, we would determine the weight of the suitcase by using the value of its mass.

Mathematically, the weight of an object is calculated by using the formula;

[tex]Weight = mg[/tex]

Where:

m is the mass of an object. g is the acceleration due to gravity.

Substituting the values into the formula, we have;

[tex]Weight = 22.5[/tex] × [tex]9.8[/tex]

Weight = 220.5 Newton.

Therefore, the weight of the suitcase is 220.5 Newton.

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- When a person does work on an object, the object gains energy. As a bicycle rider rides from the bottom to the top of a hill, the
energy from the work can become which combination of types of energy.
The riders work becomes kinetic energy only
The riders work becomes a combination of kinetic energy and heat
The riders work becomes a combination of gravitational potential and heat
The riders work becomes a combination of gravitational potential,
energy and heat

Answers

Answer:

The riders work becomes a combination of gravitational potential,

kinetic energy and heat.

Explanation:

His work becomes gravitational potential as the raider gains height. This can be seen from the equation of gravitational potential:

[tex]U = m*g*h[/tex],

where m is the mass, g is the gravity and h is the height. Since the rider's final position is higher than his starting position the change of gravitational position is greater than 0.

His work becomes kinetic energy as he gains speed: assuming he was at rest at starting position he must increase his speed to move to the top of the hill, and because kinetic energy depends on speed, part of his work becomes kinetic energy.

Finally, part of his work turns into heat due to all the losses because of the friction in the bicycle gears.

Answer:

4

Explanation:

If the distance between two charge particles is increased by four, the force will decrease by a factor of

Answers

Answer:

16

Explanation:

the force is inverse squred proportaional to the distance

Answer:

16

Explanation:

just did it on edg

1. The bottom of an elevated water tank has an
area of 135 m². If the pressure on the bottom is
1.52 x 104 Pa, what is the total force the bottom
must support?

Answers

Answer:

2.05×10⁶ N

Explanation:

Force = pressure × area

F = (1.52×10⁴ Pa) (135 m²)

F = 2.05×10⁶ N

Final answer:

The total force the bottom of the tank needs to support is calculated using the formula for pressure which is Pressure = Force / Area. By rearranging this formula to get Force = Pressure x Area, and substituting the given values, we find that the total force is 2.052 x 106 Newtons.

Explanation:

The subject of this question is from the field of Physics and it revolves around concepts of fluid pressure and force. The student is asked to calculate the total force exerted on the bottom of a water tank due to the pressure of the water above it. In physics, we know that pressure is defined as the force applied perpendicular to the surface of an object, per unit area. Mathematically this can be represented as Pressure = Force / Area. If we rearrange this equation to find Force, it transforms into Force = Pressure x Area.

Given in the question, the Pressure (P) is 1.52 x 10⁴ Pa and Area (A) is 135 m². Substituting these values into the equation gives us : Force = 1.52 x 104 Pa x 135 m² = 2.052 x 10⁶ N. Therefore, the bottom of the tank must support a force of 2.052 x 10⁶ Newtons.

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why does the bottom of a swimming pool always appear shallower than it actually is

Answers

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are.

Explanation:

so its just the refraction of light at the surface

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are. If you look at a stick that is poking into some water at an angle the stick looks bent because of refraction. The bottom of the stick seems to be nearer the surface of the water than it really is.

Explanation:

Rachel and her family live in a region where Cacti, shirt grasses, and small bushes flourish. In which Boone do they live?

Answers

Answer:

Most likely the Savanna or Desert.

Explanation:

Answer:

Explanation:

Rachel and her family is most suppose to be living in a desert area.

The forest and vegetation of a desert is similar to what described location of Rachel family. The region has Cacti, short grasses and small bushes flourish.

These natural vegetation is grown in desert as they do not need much water for there growth.

PLEASE HELP!!
The centers of two 15.0-kilogram spheres are separated by 3.00 meters. What is the magnitude of the gravitational force that one sphere exerts on the other?
A
1.11 × 10-10 N

B
3.34 × 10-10 N

C
1.67 × 10-9 N

D
5.00 × 10-9 N

Answers

Answer:

C  1.67 × 10-9 N

Explanation:

The magnitude of the gravitational force between two objects is given by:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where

G is the gravitational constant

m1 ,m2 are the masses of the two objects

r is their separation

In this problem, we have:

[tex]m_1 = m_2 = 15.0 kg[/tex]

r = 3.00 m

Substituting into the equation, we find

[tex]F=(6.67\cdot 10^{-11}) \frac{(15)(15)}{3.00^2}=1.67\cdot 10^{-9} N[/tex]

The gravitational force between two 15.0 kg spheres separated by 3.00 meters is calculated to be approximately 1.67 × 10⁻⁹ N. Therefore, the correct answer is option C.

Newton's Law of Universal Gravitation:

F = G * (m₁ * m₂) / d²

where,

F is the gravitational forceG is the gravitational constant (6.674 × 10⁻¹¹ N·m²/kg²) m₁ and m₂ are the masses of the spheresd is the distance between their centers.

Plugging in the given values:

F = 6.674 × 10⁻¹¹ N·m²/kg² * (15.0 kg * 15.0 kg) / (3.00 m)²F = 6.674 × 10⁻¹¹ N·m²/kg² * 225 kg² / 9.00 m²

After simplifying:

F ≈ 1.67 × 10⁻⁹ N

Thus, the correct answer is C (1.67 × 10⁻⁹ N).

Many theories about atomic structure have molded the current view of the
atom. The quantum model suggests that electrons

Answers

Answer:

Orbit around the nucleus at specific energy levels

Explanation:

In the quantum model of the atom (Bohr's model), electrons orbit the nucleus at specific orbits corresponding to specific energy level - this means that an electron cannot be found in the space between two orbits.

Since each orbit correspond to a a precise energy level, this means that the spectrum of emission and absorption of an atom is discrete. In fact:

- When an electron jumps from a lower energy level to a higher energy level, it absorbs a photon whose energy is equal to the difference in energy between the two levels - so photons of only specific frequencies are absorbed

- When an electron jumps from a higher energy level to a lower energy level, it emits a photon whose energy is equal to the difference in energy between the two levels - so photons of only specific frequencies are emitted

what does a equal? 3/2 a -13=5​

Answers

Answer:

a=12

Explanation:

- add 13 to both sides

3/2a = 5+13

- multiply by 2/3

2/3 * 3/2 * a = 2/3 * 18

a = 12

Step-1 :
Substitute 13 to right side
3/2a=5+13
3/2a=18
a=18x2/3
a=12
So,answer is 12

For our statistical definition of entropy, we use the equation S = klnW. In this equation, what does k represent? A. kelvin B. Fludd's constant: 6.02 × 1023 C. Carnot's constant: 9.8 × 10–8 D. Boltzmann's constant: 1.38 × 10–23

Answers

In the equation [tex]S=klnW k[/tex] represents Boltzmann constant

Answer: Option D

Explanation:

Entropy is defined as the degree of randomness of a system. In the given equation S represents entropy of the gas, k represent Boltzmann constant and W represents number of micro states possible.

W  or number of micro states means the number of ways atoms and molecules ca be arranged in a thermodynamic system. When number of micro states is more the degree of randomness namely the entropy is more.

In solid to liquid transformation the entropy increases. Similarly liquid to gas transformation also increases the entropy of the system increases.  

Answer: D.

Boltzmann's constant: 1.38 × 10⁻²³

Explanation: edmentum

Which is an example of something heated by conduction?


food heated in a microwave oven


a waffle iron heated by coils


pavement heated by the sun


a room heated by moving air

Answers

Answer:

A waffle iron heated by coils

Explanation:

A waffle iron heated by coils - conduction

Food heated in a microwave oven - radiation

Pavement heated by the sun - radiation

A room heated by moving air - convection

A soccer ball is kicked straight upwards with an initial vertical speed of 8.0 m/s. We can ignore air resistance. How long does it take the ball to have a downwards speed of 4.0 m/s?

Answers

Answer:

The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.

Explanation:

Lets explain the motion of the ball

The ball is kicked straight upwards with an initial vertical speed of 8.0 m/s

Its velocity decreases util it reaches the maximum height

At the maximum height its velocity is equal to zero

Then it fall down to the ground

We can ignore air resistance

Lets find the time it takes the ball to reach the maximum height

The acceleration of gravity is -9.8 m/s²

The initial velocity is 8 m/s upward

The final velocity is zero

So lets use the rule v = u + gt, where v is the final velocity, u is the initial

velocity, g is the acceleration of gravity and t is the time

u = 8 , v = 0 , g = -9.8

Substitute these value in the equation above

0 = 8 - 9.8 t

Add 9.8 t for both sides

9.8 t = 8

Divide both sides by 9.8

t = 40/49 seconds

The ball falls withe initial velocity zero and increases to reach 4 m/s

The velocity 4 m/s is downward

The acceleration of gravity is 9.8 m/s²

By using the same rule

u = 0 , v = 4 , g = 9.8

4 = 0 + 9.8 t

4 = 9.8 t

Divide both sides by 9.8

t = 20/49

The time the ball it takes to have the downward speed 4 m/s is the sum

of the two times above

The time the ball it takes = [tex]\frac{40}{49}+\frac{20}{49}=\frac{60}{49}=1.22[/tex] seconds

The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.

You are measuring the mass of different chemicals to get ready to conduct an experiment.
Which one would be a example of the correct International System of Measurement units to use for measuring mass?
A) ounces
B) grams
C) pounds
D) tablespoo

Answers

Answer:

B) grams

The SI unit for mass is grams.

Answer:

The answer is grams

Explanation:

A model rocket climbs 200 m in 4 seconds. If was moving 10 m/s to begin with what is its final velocity

Answers

Answer: 90 m/s

Explanation:

For this situation we will use the following equations:

[tex]y=V_{o}t+\frac{1}{2}at^{2}[/tex] (1)  

[tex]V=V_{o} + at[/tex] (2)  

Where:  

[tex]y=200 m[/tex] is the height of the model rocket at 4 s

[tex]V_{o}=10 m/s[/tex] is the initial velocity of the model rocket

[tex]V[/tex] is the velocity of the rocket at 4 s

[tex]t=4 s[/tex] is the time it takes to the model rocket to reach 200 m

[tex]a[/tex] is the constant acceleration due gravity and the rocket's thrust

Firstly, from equation (1) we have to find [tex]a[/tex]:

[tex]200 m=(10 m/s)(4 s)+\frac{1}{2}a(4 s)^{2}[/tex] (3)  

[tex]a=20 m/s^{2}[/tex] (4)  

Now we have to substitute this value of [tex]a[/tex] in (2):

[tex]V=10 m/s + (20 m/s^{2})(4 s)[/tex] (5)  

Finally:

[tex]V=90 m/s[/tex] This is the rocket's final velocity

determine the average acceleration for x(t)=19t^2+7t^3 for a time interval between 3 and 9 seconds

Answers

Answer:

290

Explanation:

Average acceleration is the change in velocity over change in time.

First, find the velocity by taking the derivative of position.

v(t) = dx/dt

v(t) = 38t + 21t²

At t = 3 and t = 9:

v(3) = 303

v(9) = 2043

So the average acceleration is:

a = Δv / Δt

a = (2043 − 303) / (9 − 3)

a = 290

Use appropriate units.

if an object that stands 3 cm high is placed 12 CM in front of a plane mirror how far from the mirror is the image located explain your reasoning​

Answers

Answer:

the mirror is 12 cm away from the image

Explanation:

Answer:

distance of image = 12 cm

Explanation:

For plane mirror the perpendicular distance of object from the mirror must be same as that of perpendicular distance of image from the mirror

As we know here that object is 3 cm high

But the distance of object from mirror is 12 cm

So here the image will be virtual and it will form at 12 cm distance behind the mirror.

So here image will form behind the mirror at same distance that is the distance of object from the mirror.

What is suspension?​

Answers

Answer:

A suspension is essentially a damped spring producing opposing force when being compressed. ... The force produced by the dampers depend on how fast the suspension is being compressed or elongated (contact speed), opposing the movement. When a wheel is lifted from the ground the suspension produces no force.

A cube made Of an unknown material has a height of 9 symeters the mass of this cube is 3645 g. calculate the density of this cube given this information

Answers

Answer: [tex]5 \frac{g}{cm^{3}}[/tex]

Explanation:

The density [tex]\rho[/tex] of a material is given by:

[tex]\rho=\frac{m}{V}[/tex] (1)

Where:

[tex]m=3645 g[/tex] is the mass of the cube

[tex]V[/tex] is the volume of the cube

Now, the volume of a cube is equal to the length [tex]L[/tex] of its edge to the power of 3:

[tex]V=L^{3}[/tex] (2)

If we know [tex]L=9 cm[/tex], the volume of this cube is:

[tex]V=(9 cm)^{3}=729 cm^{3}[/tex] (3)

Substituting (3) in (1):

[tex]\rho=\frac{3645 g}{729 cm^{3}}[/tex] (4)

[tex]\rho=5 \frac{g}{cm^{3}}[/tex] This is the density of the cube

A car goes from 90.0m/s to a stop in 3.00s. What is the acceleration

Answers

Answer:

[tex]-30m/s^{2}[/tex]

Explanation:

The first equation of motion given as,

v = u +at

Here, u is initial and v is final velocity and a is acceleration and t is time taken.

As per question car initial velocity, u = 90 m/s, final velocity, v =0 and time taken, t = 3.00 s.

Substituting these values in first equation of motion, we get

   0 = 90 m/s + a×3.00 s

or, [tex]a = \frac{-90m/s}{3.00s}[/tex]

            [tex]a=-30m/s^{2}[/tex]

Thus, the deacceleration of the car is [tex]-30m/s^{2}[/tex]

     

The acceleration of the car that goes from 90.0 m/s to a stop in 3.00s is -30.0 m/s².

The acceleration of the car can be calculated by using the equation:

Acceleratin = (final velocity - initial velocity) / time

= (0-90)/3

= -30.0 m/s².

Pauline is going on a picnic and bringing some sandwiches. She wants to keep the sandwiches cold for as long as possible by putting them in a cooler.

Which of these would be the best material for Pauline's cooler to be made of?
A.
aluminum
B.
glass
C.
iron
D.
plastic

Answers

Answer:

The correct answer is plastic.

Explanation:

To keep sandwiches cold as long as possible by putting them in a cooler the best material is plastic. The plastic is a thermal insulator used for different uses. One of them is to maintain the temperature in closed containers. Metal and aluminum allow the temperature to flow more easily and glass is not a suitable material for building the cooler.

Have a nice day!

friction changes the energy of an object from kinetic energy to _____________ energy?
electric
stored
solar
heat
wind​

Answers

I think it’s solar but don’t quote me

Friction converts kinetic energy into heat energy as surfaces in contact oppose each other's motion, resulting in an increase in the system's thermal energy. The correct answer is: heat.

Friction changes the energy of an object from kinetic energy to heat energy. When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This conversion occurs because the force of friction acts against the motion, causing the surfaces to heat up due to the energy transfer.

Kinetic energy is the energy which a body possesses by virtue of being in motion. However, when there is kinetic friction, the irregularities on the two sliding surfaces interact to convert some of the mechanical energy into thermal energy, which is the energy stored in the motion of atoms and molecules that make up a material. The heat energy can raise the thermal energy of the system, resulting in an increase in temperature of the objects involved.

The main goal of science is to


1)Collect facts and learn “the truth”

2)Understand nature

3)Do wild and crazy experiments

4)Is to produce facts

Answers

1) collect facts and learn the truth

Answer:

2. Understand nature

Explanation:

The main goal of science is to understand nature, because you need to find the best explanations for how nature works.

20. In a parallel RL circuit, 10 mA flows through the resistor and 4 mA flows through the inductor. What phase angle separates voltage and current in this circuit?

A. 18.6°
B. 28.6°
C. 24.6°
D. 21.8°

Answers

Answer:

Option D: 21.8 degrees

Explanation:

In a parallel RL circuit, the current in the resistor R and that in the inductor L are separated among themselves 90 degrees as illustrated in the attached image. In the image the current in the resistor is represented in orange, that of the inductor in blue, and the total current (vector addition of the previous two) is represented  in red, forming a certain angle (theta) with respect to the current in the resistor. The output voltage is the same as the input voltage as measured over the resistor R.

Therefore, the phase angle that separated output voltage and total current can be obtained using the fact that tan(phase angle) = [tex]\frac{I_l}{I_R} = \frac{x}{y} \frac{4}{10}[/tex], therefore the angle is the arctangent of 4/10:

[tex]arctang(\frac{4}{10} )= 21.801[/tex] degrees.

Answer:

The phase angle between voltage and current in a parallel [tex]RL[/tex] circuit is 21.8°

Explanation:

In this question  input voltage [tex]V_i_n[/tex]  across both the components, the resistor and inductor is same since it is  a  parallel [tex]RL[/tex] circuit.  

Current cross resistor [tex]I_R=10 mA[/tex]

Current across inductor [tex]I_L=2 mA[/tex]  

Inductive reactance [tex]X_L= \frac{ V_i_n}{I_L} = \frac{V_i_n}{(2 mA)}[/tex]

Resistance of the resistor [tex]R= \frac{V_i_n}{I_R} = \frac {V_i_n}{(10 mA)}[/tex][tex][/tex]

Phase angle between voltage and current ∅ [tex] =tan^-^1 R/X_L[/tex]

[tex]=tan^-^1 \frac{(V_i_n /10)}{(V_i_n /2)}=  tan^-^1 \ \frac{2}{10}=tan^-^1\ 0.4[/tex]

=21.8°

Question 4 of 10
2 Points
What is the internal energy of 7.00 mol of N2 gas at 40°C? To solve this
problem, use the equation: Udiatomie Gas =
Remember that R=8.31 J/(mol-K) and K = °C + 273.
O A 45.500
O B. 5820
O C. 11,600
O D. 18.2003

Answers

Answer:

A. 45500 J

Explanation:

Internal energy of diatomic gas is:

U = 5/2 nRT

where n is the number of moles,

R is the universal gas constant,

and T is the absolute temperature.

Given n = 7.00 mol, R = 8.31 J/mol/K, and T = 40+273 = 313 K:

U = 5/2 (7.00 mol) (8.31 J/mol/K) (313 K)

U = 45500 J

Final answer:

Option C) The internal energy of 7.00 mol of N2 gas at 40°C is 8.62 × 10⁴ J, which is best approximated by option C (11,600 J) when considering significant figures.

Explanation:

The question is asking for the internal energy of a diatomic gas, specifically nitrogen gas (N2), at a certain temperature. The internal energy (U) of an ideal diatomic gas can be calculated using the formula [tex]U = (\frac{5}{2}) nRT[/tex], where 'n' is the number of moles, 'R' is the ideal gas constant, and 'T' is the temperature in Kelvin.

Firstly, convert the temperature from Celsius to Kelvin by adding 273 to the given temperature (40°C), resulting in T = 313 K. Now, use [tex]U = (\frac{5}{2}) nRT[/tex] with n = 7.00 mol, R = 8.31 J/(mol·K), and T = 313 K.

[tex]U = (\frac{5}{2}) \times 7.00 mol \times 8.31 J/(mol.K) \times 313 K = 86212.15 J[/tex]

When this value is rounded to the correct number of significant figures and expressed in scientific notation, it becomes 8.62 × 10⁴ J, which matches option C when written as 86200 J or 86.2 kJ.

The biggest piece of fudge ever created weighed 3010 lbs. The recommended serving of fudge is 28g. How many servings did this piece of fudge have?

Answers

For this case we must do a conversion from pounds to grams. By definition we have to:

1 pound equals 453,592 grams.

So:

[tex]3010 lb * \frac {453.592} {1} \frac {g} {lb} = 1,365,311.92\ grams[/tex]

If we divide we get the number of portions:

[tex]\frac {1,365,311.92} {28} = 48,761.14[/tex]

Thus, we have approximately 48,761 servings of sugar candy.

ANswer:

48,761 servings of sugar candy.

Final answer:

To find the number of servings, the weight of the biggest piece of fudge created (3010 lbs) was converted to grams, yielding 1,365,312.92 grams. Dividing this by the recommended serving size of 28 grams gives a total of 48,761.89 servings.

Explanation:

To calculate the number of servings in the biggest piece of fudge ever created that weighed 3010 lbs, we first need to convert the weight from pounds to grams, because the recommended serving size of fudge is given in grams (28g).

1 pound is equivalent to 453.592 grams. Therefore, we need to multiply the total weight in pounds by this conversion factor:

3010 lbs × 453.592g/lbs = 1,365,312.92 grams

Now that we have the weight of the fudge in grams, we can divide it by the recommended serving size:

1,365,312.92 grams ÷ 28 grams/serving = 48,761.89 servings

Therefore, the biggest piece of fudge ever created had 48,761.89 servings.

Traveler A starts from rest at a constant acceleration of 6 m/s^2. Two seconds later, traveler B starts with an initial velocity of 20 m/s at the same acceleration of 6 m/s^2. as measured by a, at what time will traveler B overtake traveler A?

a. 0.4s
b. 1.5s
c. 2.0s
d. 2.5s
e. 3.5s

Answers

Answer:

3. 3.5 s

Explanation:

The position of traveller A is given by the equation:

[tex]x_A(t) = \frac{1}{2}a t^2[/tex]

where

[tex]a = 6 m/s^2[/tex] is the acceleration of A

t is the time measured from when A started the motion

The position of traveller B instead is given by

[tex]x_B(t) = u_B (t-2) + \frac{1}{2}a(t-2)^2[/tex]

where a (acceleration) is the same as traveller A, and

[tex]u_B = 20 m/s[/tex]

is B's initial velocity. We can verify that the formula is correct by substituting t=2, and we get [tex]x_B=0[/tex], which means that B starts its motion 2 seconds later.

Traveller B overtakes traveller A when the two positions are the same, so:

[tex]x_A = x_B\\\frac{1}{2}at^2 = u_B (t-2) + \frac{1}{2}a(t-2)^2\\\frac{1}{2}at^2 = u_B t - 2u_B +\frac{1}{2}at^2 +2a-2at\\u_Bt-2at = 2u_B-2a\\t=\frac{2u_B-2a}{u_B-2a}=\frac{2(20)-2(6)}{20-2(6)}=3.5 s[/tex]

In the graph, which region shows nonuniform positive acceleration?
A.AB
B.BC
C.CD
D.OA

Answers

Answer: A.AB

Explanation:

This Velocity vs Time graph shows the acceleration of a body or object, since acceleration is the variation of velocity in time.

As we can see in the attached image, the graph can be divided in four segments:

OA: In this segment the acceleration is changing at a uniform rate. In addition we can see it has a positive slope, hence we are dealing with a positive uniform acceleration.

AB: In this segment the acceleration is changing at a nonuniform rate, since  in this part it is not possible to calculate the slope. However if this were uniform, the slope woul be positive. This means the acceleration is nonuniform and positive.

BC: In this segment the acceleration is changing at a nonuniform rate, since  in this part it is not possible to calculate the slope. However if this were uniform, the slope woul be negative. This means the acceleration is nonuniform and negative.

CD: In this segment the acceleration is changing at a uniform rate. In addition we can see it has a negative slope, hence we are dealing with a negative uniform acceleration.

From all these segments, the only one that fulfils the nonuniform positive acceleration condition is option A:

Segment AB

Answer:

AB plato users ;)

Explanation:

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