M1 January 2006 Q1
1. A stone is thrown vertically upwards with speed 16 m s\(^{-1}\) from a point \(h\) metres above the ground. The stone hits the ground 4 s later. Find
(a) the value of \(h\), (3)
(b) the speed of the stone as it hits the ground. (3)
| Scheme | Marks |
|---|---|
| Distance after 4 s \(= 16 \times 4 - \tfrac{1}{2} \times 9.8 \times 4^2\) | M1 A1 |
| \(= -14.4 \;\Rightarrow\; h = (+)\ 14.4\) m | A1 |
| (3) |
| Scheme | Marks |
|---|---|
| \(v = 16 - 9.8 \times 4\) | M1 A1 |
| \(= -23.2 \;\Rightarrow\;\) speed \(= (+)\ 23.2\) m s\(^{-1}\) | A1 |
| (3) | |
| (6 marks) |