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

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    A ball is projected at 1414 m s−1^{-1} at 30∘30^{\circ} above the horizontal over level ground.

    Use T=2usin⁡αgT = \dfrac{2u\sin\alpha}{g} to find the time of flight. (3 marks)
    Level 2 · 3 marksTry it
  2. 2
    A ball is projected at 2828 m s−1^{-1} at 45∘45^{\circ} over level ground.

    Use R=u2sin⁡2αgR = \dfrac{u^{2}\sin 2\alpha}{g} to find the range. (3 marks)
    Level 2 · 3 marksTry it