# An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 42KJ# over #t in [0, 9 s]#. What is the average speed of the object?

The average speed is

The kinetic energy is

Therefore,

and,

The equation of the line is

So,

So,

By signing up, you agree to our Terms of Service and Privacy Policy

To find the average speed of the object, we need to calculate the change in kinetic energy and divide it by the mass of the object. The change in kinetic energy is the difference between the final kinetic energy and the initial kinetic energy. Then, we divide this by the time interval over which the change occurs.

Change in kinetic energy = Final kinetic energy - Initial kinetic energy Change in kinetic energy = 42 kJ - 18 kJ = 24 kJ

Average speed = Change in kinetic energy / Mass / Time Average speed = (24 kJ) / (4 kg) / (9 s) = 0.667 m/s

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #66 KJ# to # 225 KJ# over #t in [0, 8 s]#. What is the average speed of the object?
- The position of an object moving along a line is given by #p(t) = 4t - sin(( pi )/3t) #. What is the speed of the object at #t = 8 #?
- An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #42 KJ# to # 320 KJ# over #t in [0, 12 s]#. What is the average speed of the object?
- An object is at rest at #(8 ,6 ,9 )# and constantly accelerates at a rate of #1 m/s# as it moves to point B. If point B is at #(6 ,4 ,3 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- A book falls from a table. If there is no air resistance, what is the velocity-time graph for this book look like?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7