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A body is at rest on the ground. At t = 0 s, a force is...

A body is at rest on the ground. At t = 0 s, a force is applied on the body causing it to have a constant acceleration of a = 3 m/s^2 upwards. At t = 15 s, the force stops. (You may ignore air resistance in your calculations)

a. What is the height of the body at t = 15 s?

b. What is the maximum height the body reaches, and what is time at that point?

c. How much time will it take for the body to return to the ground?

d. Draw a graph of the velocity as a function of time and use it to calculate the displacement of the body and the total path from its launch to its return to the ground.

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