4400 Higher June 2004 Paper 3 Q13
13 A body is moving in a straight line which passes through a fixed point \(O\).
The displacement, \(s\) metres, of the body from \(O\) at time \(t\) seconds is given by
(a) Find an expression for the velocity, \(v\) m/s, at time \(t\) seconds. (2)
(b) Find the acceleration after 2 seconds. (2)
| Scheme | Marks |
|---|---|
| \(3t^2 + 8t - 5\) | B2 |
| (2) |
Notes
B2: (B1 for 2 terms correct)
| Scheme | Marks |
|---|---|
| \(6t + 8\) | M1 |
| 20 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for \(6t + 8\) or d(a)/d\(t\) if at least B1 scored
A1: ft