Edexcel M1 2022 January — Question 4

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2022
SessionJanuary
TopicSUVAT in 2D & Gravity

4. At time \(t = 0\), a small ball is projected vertically upwards from a point \(A\) which is 24.5 m above the ground. The ball first comes to instantaneous rest at the point \(B\), where \(A B = 19.6 \mathrm {~m}\) and first hits the ground at time \(t = T\) seconds. The ball is modelled as a particle moving freely under gravity.
  1. Find the value of \(T\).
  2. Sketch a speed-time graph for the motion of the ball from \(t = 0\) to \(t = T\) seconds.
    (No further calculations are needed in order to draw this sketch.)