CAIE M1 2018 June — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2018
SessionJune
TopicSUVAT in 2D & Gravity

2 A small ball is projected vertically downwards with speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) from a point \(A\) at a height of 7.2 m above horizontal ground. The ball hits the ground with speed \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and rebounds vertically upwards with speed \(\frac { 1 } { 2 } V \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The highest point the ball reaches after rebounding is \(B\). Find \(V\) and hence find the total time taken for the ball to reach the ground from \(A\) and rebound to \(B\).