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Numerical Problems from Kinematics

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1.      A stone is thrown in a vertically upward direction with a velocity of 5 m s-1. If the acceleration of the stone during its motion is 10 m s–2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

2.      Using a horizontal force of 200 N, we intend to move a wooden cabinet across a floor at a constant velocity. What is the friction force that will be exerted on the cabinet?

3.      A stone is thrown vertically upward with an initial velocity of 40 m/s. Taking g = 10 m/s2, find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?

4.      A ball thrown up vertically returns to the thrower after 6 s.
Find
(a)     The velocity with which it was thrown up,
(b)     The maximum height it reaches, and
(c)     Its position after 4 s.

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