Projectile motionEdexcel A-Level Maths: Mind map

Exam questions on Projectile motion

1. A ball is kicked from a point on horizontal ground with speed $20$ m s$^{-1}$ at $30^\circ$ above the horizontal. Model the ball as a particle moving freely under gravity, with no air resistance. Take $g=9.8$ m s$^{-2}$.
   Find the horizontal range of the ball, that is, the distance from the kick to where it first lands.2 marks
2. A stone is thrown horizontally with speed $12$ m s$^{-1}$ from the top of a vertical cliff, $45$ m above the level sea. Model the stone as a particle moving freely under gravity. Take $g=9.8$ m s$^{-2}$.
   Find the speed of the stone as it enters the sea.2 marks
3. A golf ball is hit from a point on horizontal ground with speed $25$ m s$^{-1}$ at an angle $\alpha$ above the horizontal, where $\tan\alpha=\frac34$. Model the ball as a particle moving freely under gravity, in a vertical plane, with no air resistance. Take $g=9.8$ m s$^{-2}$.
   Find the time of flight of the ball and its horizontal range.3 marks