A-level · Projectiles

Projectile motion formulaeExam-style questions

The standard results for a projectile launched at speed u and angle θ over level ground — time of flight 2u sinθ/g, greatest height u²sin²θ/(2g), range u²sin2θ/g — and using them in reverse to find u or θ.

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17 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A stone is thrown at $21\ \text{m s}^{-1}$ at $45^\circ$ over level ground. Use $R = \dfrac{u^2\sin 2\theta}{g}$ to find the range. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
2
A ball is projected at $30\ \text{m s}^{-1}$ at $30^\circ$ over level ground. Find the time of flight, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
3
A particle is projected at $24\ \text{m s}^{-1}$ at $60^\circ$ . Use $H = \dfrac{u^2\sin^2\theta}{2g}$ to find the greatest height, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
4
A ball is projected at $20\ \text{m s}^{-1}$ and lands $30$ m away on level ground. Find the two possible angles of projection, to 3 s.f. ( $g = 9.8$ .)
Level 3 · 2 marksTry it
5
A projectile is launched at $35\ \text{m s}^{-1}$ . Find the maximum possible range and the angle that achieves it. ( $g = 9.8$ .)
Level 3 · 2 marksTry it

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