Higher June 2019 Paper 1 Q24
24 A particle \(P\) is moving along a straight line that passes through the fixed point \(O\).
The displacement, \(s\) metres, of \(P\) from \(O\) at time \(t\) seconds is given by
Find the value of \(t\) for which the acceleration of \(P\) is 3 m/s2
(4)
| Scheme | Marks |
|---|---|
| (\(v\) =) \(3t^2 - 6 \times 2t + 5\) (+ 0) | M1 |
| (\(a\) =) \(3 \times 2t - 12\) | M1 |
| \(6t - 12 = 3\) | M1 |
| 2.5 oe | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for differentiating at least 2 terms correctly
M1: dep ft
M1: dep on at least M1 for equating their acceleration in terms of \(t\) to 3