A man pushes a 24-kg box across a frictionless floor. The box begins moving from rest. He initially pushes on thebox gently, but gradually increases his force so that the force heexerts on the box varies in time as F = (8 N/s)t. After 3 s,he stops pusing the box. The force is always exerted in thesame direction.
(a) What is the velocity of the box after 3s?
(b) How far has the man pushed the box in 3 s?
(c) What is theaverage velocity of the box between 0 s and the 3 s?
(d) What isthe average force that the man exerts on the box while his ispushing it?