| Exam Board | AQA |
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| Module | Paper 2 (Paper 2) |
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| Year | 2020 |
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| Session | June |
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| Topic | Projectiles |
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17 A ball is projected forward from a fixed point, \(P\), on a horizontal surface with an initial speed \(u \mathrm {~ms} ^ { - 1 }\), at an acute angle \(\theta\) above the horizontal.
The ball needs to first land at a point at least \(d\) metres away from \(P\).
You may assume the ball may be modelled as a particle and that air resistance may be ignored.
Show that
$$\sin 2 \theta \geq \frac { d g } { u ^ { 2 } }$$