ProjectilesAQA A-Level Maths: Mind map

Exam questions on Projectiles

1. A ball is projected from a point $O$ on level ground with speed $20\ \text{m s}^{-1}$ at $30^\circ$ above the horizontal. Model the ball as a particle moving freely under gravity, with $g=9.8\ \text{m s}^{-2}$.
   Calculate the horizontal distance the ball travels before landing.2 marks
2. A stone is thrown horizontally at $15\ \text{m s}^{-1}$ from a window $19.6$ m above level ground. Model the stone as a particle moving freely under gravity, with $g=9.8\ \text{m s}^{-2}$.
   Find the speed of the stone as it hits the ground.2 marks
3. A particle is projected from a point $O$ on horizontal ground with initial velocity $(6\mathbf{i}+14.7\mathbf{j})\ \text{m s}^{-1}$, where $\mathbf{i}$ and $\mathbf{j}$ are horizontal and vertically upward unit vectors. The particle moves freely under gravity, with $g=9.8\ \text{m s}^{-2}$.
   Find the velocity of the particle after $2$ s, and state whether it is moving upwards or downwards at that time.3 marks