Higher November 2020 Paper 2 Q21
21. When a ball is thrown upwards on the Moon, the maximum height, \(h\) metres, it reaches is given by the formula \(h=\dfrac{U^2}{2a}\).
In a particular case, \(U\) = 4·2 and \(a\) = 1·6, both correct to 2 significant figures.
Calculate the greatest possible value of \(h\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{\text{greatest } U^2}{\text{smallest } 2a}\) | S1 | Allow \(4.2\lt U\leqslant4.25\) and \(1.55\leqslant a\lt1.6\) |
| \(\dfrac{4.25^2}{2\times1.55}\) or \(\dfrac{18.0625}{3.1}\) | M1 | |
| 5.8(2…) or 5.83 | A1 | Allow an answer of 6 from correct working only. If many attempts are offered without a method or answer being identified, then mark final attempt |
| (3) |