A-level · Projectiles

Projection at an angleExam-style questions

Resolving the launch velocity into u cosθ (horizontal, constant) and u sinθ (vertical, under gravity), then using suvat in each direction to find the time of flight, greatest height and range.

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

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    A particle is projected at 30 m s−130\ \text{m s}^{-1} at 40∘40^\circ above the horizontal. Find the greatest height reached, to 3 s.f. (g=9.8g = 9.8.)
    Level 3 · 2 marksTry it
  2. 2
    A ball is projected at 24 m s−124\ \text{m s}^{-1} at 35∘35^\circ above the horizontal over level ground. Find the time of flight, to 3 s.f. (g=9.8g = 9.8.)
    Level 3 · 2 marksTry it
  3. 3
    A stone is projected at 28 m s−128\ \text{m s}^{-1} at 40∘40^\circ above the horizontal over level ground. Find the horizontal range, to 3 s.f. (g=9.8g = 9.8.)
    Level 3 · 2 marksTry it
  4. 4
    A particle is projected at 20 m s−120\ \text{m s}^{-1} at 50∘50^\circ above the horizontal. Find its speed 1.51.5 s after projection, to 3 s.f. (g=9.8g = 9.8.)
    Level 3 · 2 marksTry it
  5. 5
    A ball is projected at 30 m s−130\ \text{m s}^{-1} at 45∘45^\circ above the horizontal towards a wall 2020 m away. Find the height at which it strikes the wall, to 3 s.f. (g=9.8g = 9.8.)
    Level 3 · 2 marksTry it

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