A race car starting from rest accelerates uniformly at a rate of 4.90 meters per squared. What is the cars speed after it has traveled 200 meters?

Answers

Answer 1
Ok, we need to find a relation for the speed as it relates to the acceleration.  This is given by the integral of acceleration:

[tex]v= \int\limits^{t}_{0} {a} \, dt' =at[/tex]

Where we have the initial velocity is 0m/s and a will be 4.90m/s².

But we see there is an issue now... We know the velocity as a function of time, but we don't know how long the car has been accelerating!  We need to calculate this time by now finding the position function as a function of time.  This way we can solve for the time, t, that it takes to go 200m accelerating this way and then substitute that time into our velocity equation and get the velocity. 
Position is just the integral of velocity:

[tex]s= \int\limits^{}_{} {at} \, dt = \frac{1}{2}at^2 [/tex]

Where the initial velocity and initial position are both zero.

Now we set this position function equal to 200m and find the time, t, it took to get there

[tex]\frac{1}{2}(a \frac{m}{s^2} )t^2=200m \\ \\ \frac{1}{2}4.90 \frac{m}{s^2} t^2=200m \\ \\ t^2= \frac{400m}{4.90 \frac{m}{s^2}}=81.63s^2 \\ \\ t= \sqrt{81.63s^2 } =9.04s[/tex]

Now let's put t=9.04s into our velocity equation:

[tex]v =at=4.9\frac{m}{s^2} \times 9.04s=44.3 \frac{m}{s} [/tex]


Answer 2
Final answer:

The race car's speed after it has traveled 200 meters, starting from rest and accelerating uniformly at a rate of 4.90 m/s², is approximately 44.27 meters per second.

Explanation:

Given that the race car starts from rest and accelerates uniformly, we can apply the known physics equation for motion: v² = u² + 2as, where 'v' is the final velocity, 'u' is the initial velocity, 'a' is the acceleration, and 's' is the distance covered.

In this case, the car starts from rest, so 'u' is 0. The acceleration 'a' is given as 4.90 m/s², and the distance travelled 's' is 200 meters. Substituting these values into the equation, we get: v² = 0 + 2 * 4.90 * 200. Solving this, we find that 'v²' equals 1960, and therefore 'v' (the speed of the car) would be the square root of 1960, which is approximately 44.27 meters per second.

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Related Questions

A soccer ball has 1200 j of kinetic energy and a mass of o.8 kg what is the speed of the ball when it is kicked

Answers

F=MA
1200 j = (0.8 kg)(A)
1200 j / 0.8 kg = A
A= 1500 m/s^2 

can an object have a northward velocity and a southward acceleration?

Answers

Yes, it can. Acar that is traveling northward and slowing down has a northward velocity and a southward acceleration.
Hi there,

Yes, for example a car that is traveling northward and slowing down has a northward velocity and a southward acceleration. If the upward direction is chosen as +y, a falling object has negative velocity and negative acceleration.

Hope this helped you :-)

A helicopter is traveling at 86.0 km/h at an angle of 35° to the ground. What is the value of Ax? Round your answer to the nearest tenth. km/h

Answers

Yeah it is 70.4 for the Ax one and 49.3 for the Ay.

Final answer:

The value of Ax, the x component of the velocity of the helicopter, is approximately 70.5 km/h.

Explanation:

The question asks to determine the horizontal component of the velocity (Ax) of a helicopter traveling at 86.0 km/h at an angle of 35° to the ground. To find Ax, we can use the cosine component of the given velocity because the cosine of an angle in a right triangle gives the adjacent side over the hypotenuse, which corresponds to the horizontal component over the total velocity.

To find the value of Ax, we can break down the velocity vector of the helicopter into its x and y components. The x component of the velocity can be found using the formula Vx = V * cos(angle), where V is the magnitude of the velocity and angle is the angle with respect to the ground.

In this case, V = 86.0 km/h and angle = 35°. Plugging in these values, we get Vx = 86.0 km/h * cos(35°) = 70.5 km/h.

So, the value of Ax is approximately 70.5 km/h.

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If 1 meter = 3.28 feet, what is the height of the Washington Monument in meters?

Answers

Since you didn't provide how tall the Monument was, I took the liberty to find it and it is 555 feet tall. So to convert to meters we must divide 555 by 3.28 or multiply it by 0.3048 (this is the method I used).
555 x 0.3048 = 169.164 meters

The height of the Washington Monument can be found out by unit conversation.

Units conversion

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

though the real measurement is still the same the units and numerical values have been changed.

The height of the Washington Monument is 554.32 feet.

Given to us1 meter = 3.28 feet

To find

the height of the Washington Monument

Solution

We know that the height of the Washington Monument is 169 meters.

Therefore,

1 meter = 3.28 feet

169 meters = 3.28 x 169 feet

                   = 554.32 feet

Hence, the height of the Washington Monument is 554.32 feet.

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What is the average velocity between 12.00 and 15.00 seconds?

A) 81.0 m/s, east

B)
27.00 m/s, east

C)9.00 m/s, east
D)
0.0123 m/s, east




Answers

Subtract d(15) - d(12), then divide that by 3 because 3 sec between 12-15:
(225-144)/3 = 81/3 = 27m/s
B) 27.00 m/s, east

Answer: The velocity of abject in a given time interval from 12 seconds to 15 sec is 27 m/s.

Explanation:

Displacement of the object after 12.00 seconds = 144 m

Displacement of the object after 15.00 seconds = 225 m

[tex]Velocity=\frac{\text{Change in Displacement}}{\text{Change in time}}[/tex]

[tex]Velocity=\frac{225 m-144 m}{15 s-12 s}=\frac{81 m}{3 s}=9m/s[/tex]

The velocity of abject in a given time interval from 12 seconds to 15 sec is 27 m/s.

__________ are seismic waves that pass through the earth's interior, spreading out from the focus in all directions.

Answers

P-waves and S-waves are seismic waves that pass through the earth's interior, spreading out from the focus in all directions. . P-waves move through solids, liquids, and gases, while S-waves travel only through solids.

Seismic waves are energy waves generated during earthquakes that travel through the Earth's interior, spreading out from the focus.

These waves are categorized into two main types: body waves and surface waves. Body waves, which travel through the Earth's interior, include P-waves (primary waves) and S-waves (secondary waves).Body waves are the first to propagate out from the focus of an earthquake. P-waves are compressional waves that move rock particles forward and backward in the direction of wave travel, allowing them to pass through solids, liquids, and gases. S-waves follow P-waves and are shear waves that move rock particles side-to-side, but they can only travel through solids, not through liquids or gases.Geologists study these seismic waves to understand earthquakes and the Earth's interior structure. As seismic waves travel through different materials, their speed changes, which helps scientists determine the density and composition of various layers within the Earth.

Which example best describes the term carrying capacity?

Answers

When people aboard a plane...the amount of baggage you take has to vary because the plane has a certain carrying capacity.

the table shows information about the moons of mars what is the orbital period of deimos?
A. 0.0806 days
B. 0.798 days
C. 1.26 days
D. 1.59 days
#please #asap

Answers

The table is missing, however I found the value of the orbital period of Deimos on the web:
[tex]t=30.4 h[/tex]
So, 30.4 hours. With a simple proportion we can convert it in days:
[tex]1 d: 24 h=x:30.4 h[/tex]
from which we find
[tex]x= \frac{30.4}{24}=1.26 d [/tex]
So, 1.26 days, which corresponds to answer C). 

The table shows information about the moons of mars what is the orbital period of Deimos 1.26 days.

What is time period?

The amount of time a given astronomical object takes to complete one orbit around another object.

The table is missing, however I found the value of the orbital time period of Deimos on the web:

t = 30.4 hours

So, 30.4 hours. With a simple proportion we can convert it in days:

1 d: 24 h = x : 30.4 h

from which we find

x = 1.26 day

So, 1.26 days,

The table shows information about the moons of mars what is the orbital time period of Deimos 1.26 days.

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A spring with a spring constant k of 44 n/m is stretched a distance of 14 cm (0.14 m) from its original unstretched position. what is the increase in potential energy of the spring? j

Answers

The elastic potential energy of a spring is given by
[tex]U= \frac{1}{2} k x^2 [/tex]
where k is the spring's constant and x is the displacement with respect to its unstretched position. 

The initial potential energy of the spring is zero, because it is in unstretched postion, therefore x=0. The final potential energy is instead, using [tex]k=44 N/m[/tex] and [tex]x=0.14 m[/tex],
[tex]U_f = \frac{1}{2} (44 N/m)(0.14 m)^2 = 0.43 J[/tex]

And so, the increase in potential energy is 
[tex]\Delta U=U_f - U_i = 0.43 J-0 J=0.43 J[/tex]

a powerboat accelerates along a straight path from 0 km/hr to 99.8 km/hr in 10.0 s.Find the average acceleration of the boat in meters per second squared.

Answers

(27.72-0)/10
= 2.772 m/s2

A brick moves across a rough surface at constant velocity. Which of the following are forces that should be included in a free body diagram? (select all that apply) gravity friction applied force force of motion

Answers

gravity friction applied force

Answer:

the force that are included here is given as

1) Gravity

2) Friction

3) Applied force

Explanation:

As per the Force diagram of the moving block

We know that the block is moving with constant speed

so here the applied force on the block is counter balanced by the friction force due to ground

Also we can see that the the Normal force due to ground is also counter balanced by the weight or force of gravity on it

So the force that are included here is given as

1) Gravity

2) Friction

3) Applied force

In the equation for Hooke’s Law, F = –kx, the term k represents the spring constant of a spring. True or False
the answer is True

Answers

yes it represents the spring constant
The answer would be true

Devonte pushes a wheelbarrow with 830 W of power. How much work is required to get the wheelbarrow across the yard in 11 s? Round your answer to two significant figures.

Answers

Answer: To get the wheelbarrow across the yard in 11 s Is required 9,100 J of work.

Explanation:

Hi, to solve this problem we have to apply the formula:

Power (w) = work (J) / time (sec)

So, replacing the variables with the values given:

830 w = work / 11sec

Isolating work we have:

830 w / 11 sec = work

Work = 9,130 J  = 9,100 j (rounded to two significant figures)

To get the wheelbarrow across the yard in 11 s Is required 9,100 J of work.

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer:

9100

Explanation:

EDGE2020

suppose you have two bar magnets. Only one of the magnets has the north and south poles labeled. How would you determine which was the north and which was the south pole on the unlabeled magnet?

Answers

if you put one pole on the unlabeled magnet towards the north labeled pole on the other magnet and it moves away, it is north. If it moves together, then it is south

You could use the labeled magnet to attract and repel the unlabeled magnet, as opposite poles will attract and like poles will repel each other, allowing you to determine which is the north and south pole on the unlabeled magnet.

What is a magnet?

A magnet is a material that creates a magnetic field and has the ability to attract or repel other magnets or magnetic materials. Magnets have north and south poles, and the direction of the magnetic field is from the north to the south pole.

Natural magnets are minerals, while man-made magnets are made by magnetizing a suitable material. Magnets are used in many technological applications, such as motors, generators, and compasses.

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What is the end product of glycolysis when oxygen is not present?

A)

Answers

When oxygen is not available, glycolysis produces lactate as its byproduct.Option A is correct.

What is glycolysis?

A process through which cells partially break down glucose via oxygen-free enzyme activities. One process that cells employ to make energy is glycolysis.

The breakdown of glucose can occur more completely and more energy can be created when glycolysis is combined with other enzyme activities that require oxygen.

Pyruvate, the last result of glycolysis, is fermented to produce lactic acid, ethanol, and CO₂ in the absence of oxygen. Anaerobic respiration is the term for it.

Lactate is the end product of glycolysis when oxygen is not present.

Hence, option A is correct.

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when objects are heated they tend to expand because

Answers

Hello!
===
When objects are heated, their molecules tend to vibrate fast. As they vibrate, the space between each atom increases. This keeps on happening, and the object expands until it has cooled down.
===
Hope this helps! :)

weakly foliated, coarse-grained metamorphic rock that is made mostly of quartz and feldspar is _____. A. skarn B. gneiss C. phyllite D. quartzite

Answers

Hello,

Here is your answer:

The proper answer for this question is option B "Gneiss".

Your answer is B.

If you need anymore help feel free to ask me!

Hope this helps!

in the diagram the solid eventually becomes a gas what will happen to bring the substance from a solid to a gas

Answers

Since there is no diagram I can see to prove my answer, I must infer that a heat source should be applied to the solid substance and cause the atoms in the solid to spread further apart and become a different state, in which atoms will be able to freely move, gas.

A sound wave has frequency of 430 Hz in air . Which of these is closet to the wavelength of this sound? ( The speed of sound in air is 343 m/s.)
A. The height of a skyscraper
B. The length of car
C. The height of a tree
D. The width of highway
E. The height of a desk

Answers

I think it would be E. The higher the object the less wavelength is possible.

What the difference between monatomic and colloidal gold?

Answers

Final answer:

Monatomic gold refers to individual gold atoms, while colloidal gold includes particles between 1 nanometer and 1 micrometer dispersed in a medium, displaying unique properties such as long-term stability and distinctive colors due to light absorption and scattering.

Explanation:

The difference between monatomic gold (Au) and colloidal gold lies in the size and dispersion of the gold particles. Monatomic gold refers to gold atoms that are not bonded to any other atoms, essentially in an isolated form. In contrast, colloidal gold consists of gold particles that are of colloidal size, meaning they range between 1 nanometer to 1 micrometer in diameter, and are dispersed in another substance, such as water. Colloidal particles are in a kind of “no person's land” between true solutions and solid particles, often not settling under gravity and can exhibit interesting properties such as the characteristic wine-red color of colloidal gold solutions due to selective absorption and scattering of light.

Colloidal gold is highly stable and can remain intact for many years, as illustrated by gold sols created in 1857 that are still intact. The state of dispersion and the color of colloidal gold can change with varying conditions such as particle size or environmental factors. On the other hand, monatomic atoms do not have such collective properties. Colloidal gold plays a significant role in various applications including medical diagnostics, due to its unique optical and chemical characteristics.

Which bright solar feature is shown in the picture above?

Solar flare
Prominence
Sunspot
Convection zone

Answers

Answer : (B) Prominence

Explanation :

A large, glittering and gaseous characteristic which is extending outward from the surface of the sun is called Prominence.

Photosphere is one of the layer of sun where the prominence are anchored and then they move into the corona of the sun.

Corona is a region in the surface of the sun which is the constituent of hot ionized gases (plasma).

The prominence consists of colder plasma and this prominence plasma is much more shining and denser as compared to coronal plasma.

Hence, the correct option is (B) Prominence.

Answer:the answer is a

Explanation:

when i answered the first time i answered prominence and that wa swrong so then i did some researech and the answer is  a solar flare

If the angular momentum of an object increases, which of these could be true?
A. the angular velocity of the object decreased.
B. The mass of the object decreased.
C. The momentum of inertia increased.
D. The object's momentum of inertia decreased.

Answers

the answer is D the objects momentum of inertia decreased

If a current of 0.5 A flows in a 75 W light bulb when the voltage difference between the ends of the filament is 150 V, what is the resistance of the filament?

Answers

Power is current times voltage.  Using Ohm's Law V=IR, we can express power in two additional ways:
[tex]P=I^2R \\ P= \frac{V^2}{R} [/tex]
So for P=75W, we can use either of these to get R.  Let's use the first one:
[tex]75W=(0.5A)^2R \\ \frac{75W}{0.25A^2}=300 \Omega [/tex]

Answer:

300 would be the best anwer.

Explanation:

What is a nuclear bulge?
a) The bulging corner of a spiral galaxy consisting of gas in the shape of a spiral sphere that circles a galaxy
b) The bulging center of a spiral galaxy consisting of debris in the shape of a flattened sphere that circles a black hole
c) The bulging corner of a spiral galaxy consisting of debris in the shape of a flattened sphere that circles a black hole
d) The bulging center of a spiral galaxy consisting of stars in the shape of a flattened sphere that circles a black hole

Answers

the answer would be D) the building center of a spiral galaxy consisting of stars in the shape of a flattened sphere that circles a black hole 

Answer: d) The bulging center of a spiral galaxy consisting of stars in the shape of a flattened sphere that circles a black hole

Explanation:

Bulge is part of star at the center where stars are closely packed. Most of the spiral galaxies have Bulge at their heart that is at their center. The shape of a bulge resembles that of a flattened sphere. Most of the bulges have high compact mass at their center about which the stars rotate. This high compact mass at the center is assumed to be super-massive black-hole.

Thus, a nuclear bulge can be defines as: d) The bulging center of a spiral galaxy consisting of stars in the shape of a flattened sphere that circles a black hole

A sprinkler sprays water out of a hose with a velocity of 6.3 m/s. if the sprinkler is aimed 25° above the ground, at what distance from the sprinkler does the water hit the ground? ignore air resistance and use 9.8 m/s2 for acceleration due to gravity.

Answers

The step by step solution would be:

1. Look for the vertical component of spray, this is calculated by: (sin 25 degrees x 6.3) =2.662 m/sec. 

2. Then look for the time to max height = (v/g) = 2.662/9.8 = 0.272 sec. 

3. Double the amount you got from 2; this is for time to reach the ground, = 0.544 sec. 

4. Then compute for the horizontal V of spray = (cos 25 degrees x 6.3) = 5.710 m/sec. 

5. So the horizontal distance = (5.710 x 0.544) = 3.106 meters. 

Final answer:

To determine the distance the water hits the ground from the sprinkler, projectile motion principles are applied, separating the initial velocity into horizontal and vertical components and then calculating the time of flight and horizontal distance.

Explanation:

A student asked how far water will hit the ground if a sprinkler sprays water at a velocity of 6.3 m/s, aimed 25 degrees above the ground, ignoring air resistance. To solve this, we use the principles of projectile motion. First, decompose the initial velocity into horizontal (vx) and vertical (vy) components. The horizontal velocity, vx = v × cos(θ) and the vertical velocity, vy = v × sin(θ), where θ is the launch angle and v is the initial velocity.

For a projectile landed on the same level from which it was launched, the time of flight, t, is given by t = 2 × vy / g, where g is the acceleration due to gravity (9.8 m/s2). The horizontal distance, or range, R, is then R = vx × t. Substituting the given values, vx = 6.3 × cos(25°) and vy = 6.3 × sin(25°), we can find t and subsequently R.

A light beam in air strikes the surface of water at an angle of 35° to the normal. When it enters the water it bends toward the normal, making an angle of 25.5° to it. The velocity of light in air is approximately 300,000 km/s. What is the approximate velocity of light in water? A. 77,000 km/s B. 225,000 km/s C. 278,000 km/s D. 341,000 km/s

Answers

Quick Answer B
============
Sin(A)/Sin(B) = v1/v2
A = 25.5
B = 35
v2 = 300,000 km/hr
v1 = ???
Note that this is an inverse relationship.
Sin(25.5)/Sin(35) = v1/300000
v1 = [sin(25.5)/sin(35)] * 300000
sin(A) = 0.4305
Sin(B) = 0.5736
v1 = (0.4305)/0.5736 * 300000
v1 = 225000

Which of the following statements is true regarding how blackbody radiation changes as the temperature of the radiating object increases?
The maximum intensity increases, and the peak wavelength decreases.
The maximum intensity decreases, and the peak wavelength increases.
Both the maximum intensity and the peak wavelength decrease.
Both the maximum intensity and the peak wavelength increase.

Answers

The statement "The maximum intensity increases, and the peak wavelength decreases." is true regarding how black body radiation changes as the temperature of the radiating object increases. Temperature is directly proportional to intensity but inversely proportional to the wavelength. 

Final answer:

The correct answer is that as the temperature of a blackbody radiator increases, the maximum intensity of radiation increases, and the peak wavelength decreases, resulting in a shift towards shorter wavelengths and more intense radiation.

Explanation:

The correct statement regarding how blackbody radiation changes as the temperature of the radiating object increases is that the maximum intensity increases, and the peak wavelength decreases. The distribution curves of blackbody radiation indicate that with higher temperatures, the intensity of radiation becomes greater, and the peak of the curve shifts toward shorter wavelengths. Objects such as lava become visible to the human eye at high enough temperatures, emitting radiation that progresses through colors red, orange, yellow, and eventually white as temperature increases - each color representing a decrease in wavelength and an increase in intensity.

Which two elements are abundant in the fresh crust that comes from a spreading center?

Answers

A spreading centre, which occurs mainly in the oceans, happens when the magma coming from the crust reaches the water at the ocean floor, cooling and becoming new crust. Generally, the two most abundant elements in the fresh crust of a spreading centre are iron and manganese.

what steps are involved in creating hydroelectric power?

Answers

Answer:

Water falls from a reservoir through a channel to a turbine. The water turns the turbines, which allows the generator to make electricity.

It is falling instead of flowing, because elavation is an important part of the hydroeletric power plant, since gravity is a thing, and there was elevation, than it would be falling and not flowing.

Answer:

b

Explanation:

google

Physical fitness is related to our ability to carry out daily tasks without being too tired or sore. Please select the best answer from the choices provided. T F

Answers

The statement 'physical fitness is related to our ability to carry out daily tasks without being too tired or sore' is TRUE.

What is physical fitness?

Physical fitness refers to the physical activities that involve the concerted functioning of the heart, lungs, and muscles.

Physical fitness is fundamental for improving the ability to carry out different tasks without being tired.

Physical fitness is not only important from a physical perspective but also helps to positively enhance our mental health.

In conclusion, the statement 'physical fitness is related to our ability to carry out daily tasks without being too tired or sore' is TRUE.

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Answer:

true

Explanation:

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Draw a log of 30 students actions for a period of 30days. Observe and record the actions, attributes or traits that led to your judgement on their personality. You are attending to a 3-year-old female who fell off her bicycle and struck her head on the curb. the patient is alert and crying. when you attempt to immobilize her on a backboard, she becomes very upset and agitated. the most suitable alternative to the backboard is to: Which should you do when taking a standardized test The practice where advanced learners are separated from regular learners is referred to as: Read the following description:She was an impertinent girl and pushy in her speechWhat is the main idea in this description?a. The girl is obnoxious but often correct. b. The girl is irritating and a poor listener. c. The girl is respected for her directness. d. The girl is pretentious but insightful. Need help with number 12 please, thanks. What best defines due process of law hhhhhhhellllllllp..................................... plz help tyyy :)))))))))))))))))))) 10p = 66 what is the value of p What is the purpose of the zigzag line on the periodic table _____ are bacterial structures involved in the passage of dna into or out of the cell. Which wave has a disturbance that is perpendicular to the wave motion?A. No wave has a disturbance that is perpendicularB. TransverseC. SurfaceD. Longitudinal Your friend invites you to go to an indoor skateboard park. You'd like to go, but since you don't have a helmet or knee pads, you'll have to rent them. You'll also need to but a day pass to enter the park.Write a formula that will help you determine your total cost.Let's let:h = helmet rentalk = knee pad rentalp = cost of day passc = total cost What main source provides guidance to lslams followers Billy drops a water balloon from the roof of his house since the balloon begin with an original velocity of zero how far above ground was the balloon dropping if it took 2.5 seconds to hit the ground Why do speakers use the same language register as their audience?A.To create rapport between themB.To pretend that they come from the same areaC.To pretend that they come from the same social classD.To seem more cheerfulPlease DON'T answer if you don't know the answer A student earned grades of C, A, B, and A in four different courses. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. What shows all like terms in this expression?4x - 3 + 7x + 1 How many crickets will a lizard need to consume if: There are 150 dietary calories in 100 grams of cricket. Crickets weigh 1.0 grams each. It takes 0.5 dietary calories for the lizard to do one pushup. The lizard spends 60 minutes a day doing pushups The lizard does these pushups every day for 30 days during the breeding season The lizard does push-ups at a rate of 10 push ups/ 30 seconds. 4500 6750 9000 12000