4MA0 Higher June 2017 Paper 4R Q23
23 \(t = \dfrac{v - u}{a}\)
\(v = 27.3\) correct to 3 significant figures.
\(u = 18\) correct to 2 significant figures.
\(a = 9.81\) correct to 3 significant figures.
Work out the lower bound for the value of \(t\).
Show your working clearly.
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
| 27.25 or 27.35 or 17.5 or 18.5 or 9.805 or 9.815 | B1 |
| (\(t =\)) \(\dfrac{27.25 - 18.5}{9.815}\) | M1 |
| 0.891 | A1 |
| (3) | |
| (3 marks) |
Notes
B1: Accept \(27.34\dot{9}\) or 27.3499… or \(18.4\dot{9}\) or 18.499... or \(9.814\dot{9}\) or 9.81499...
M1: For \(\dfrac{LB - UB_1}{UB_2}\) oe where
\(27.25 \leqslant LB \lt 27.3\)
and \(18 \lt UB_1 \leqslant 18.5\)
and \(9.81 \lt UB_2 \leqslant 9.815\)
A1: dep on seeing \(\dfrac{27.25 - 18.5}{9.815}\)
Correct working must be seen
Accept 0.891 - 0.8915