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

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A ball is projected at $25\ \text{m s}^{-1}$ at $40^\circ$ above the horizontal. Find the initial horizontal and vertical components of velocity, to 3 s.f.
Level 2 · 2 marksTry it
2
A ball is projected at $20$ m s $^{-1}$ at $30^{\circ}$ above the horizontal.

Write down the horizontal and vertical components of the initial velocity, giving the horizontal component to 3 significant figures. (2 marks)
Level 2 · 2 marksTry it
3
The ball is projected at $20$ m s $^{-1}$ at $30^{\circ}$ above the horizontal.

Find the time taken to reach the highest point of the path. (3 marks)
Level 2 · 3 marksTry it
4
A ball-throwing machine stands on horizontal ground at a sports centre.

A small ball is projected from a point $O$ $O$ on the ground with speed $26\ \text{m s}^{-1}$ $26 m s^{- 1}$ at an angle $\alpha$ $α$ above the horizontal, where $\tan\alpha = \frac{5}{12}$ $tan α = \frac{5}{12}$

In the model
- the ball is modelled as a particle moving freely under gravity
- the ball first hits the ground at the point $A$
Using the model,
(a) find the time taken for the ball to travel from $O$ $O$ to $A$ $A$ ,

(2 marks)
(b) find the distance $OA$ $O A$ .

(2 marks)
Level 2 · 4 marksTry it