M1 January 2009 Q2
2. A small ball is projected vertically upwards from ground level with speed \(u\) m s\(^{-1}\). The ball takes 4 s to return to ground level.
(a) Draw, in the space below, a velocity-time graph to represent the motion of the ball during the first 4 s. (2)
(b) The maximum height of the ball above the ground during the first 4 s is 19.6 m. Find the value of \(u\). (3)

| Scheme | Marks |
|---|---|
| shape | B1 |
| values | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(19.6 = \dfrac{1}{2} \times 2 \times u\) | M1 A1 |
| \(u = 19.6\) | A1 |
| (3) | |
| (5 marks) |