Speed and velocity-time graph

by **MathsTutor4You** Mon Sep 07, 2015 4:13 pm

A ball of mass 0.3 kg is released from rest at a point which is 2 m above horizontal ground. The ball moves freely under gravity. After striking the ground, the ball rebounds vertically and rises to a maximum height of 1.5 m above the ground, before falling to the ground again. The ball is modelled as a particle.

(a) Find the speed of the ball at the instant before it strikes the ground for the first time.

(b) Find the speed of the ball at the instant after it rebounds from the ground for the first time.

(c) Find the magnitude of the impulse on the ball in the first impact with the ground.

(d) Sketch, in the space provided, a velocity-time graph for the motion of the ball from
the instant when it is released until the instant when it strikes the ground for the
second time.

(e) Find the time between the instant when the ball is released and the instant when it
strikes the ground for the second time.