A particle P P\,P is projected with speed Ums−1U\text{ms}^{-1}Ums−1 from the point AAA, 14.7m above the ground. P P\,P is projected at an angle of 30∘ 30^\circ\,30∘ to the horizontal. B B\,B is the greatest height of PPP, 4.9m above AAA.
Find the value of UUU.
Find the time taken for P P\,P to reach the ground.
Hence find the horizontal distance travelled.
Find the speed of the ball when it hits the ground.
230 exam-style questions on Edexcel A Level Maths Projectiles, covering 6.1 Horizontal Projection, 6.2 Horizontal and Vertical Components, 6.3 Projection at Any Angle, and 6.4 Projectile Motion Formulae. Each one has a worked solution and a mark scheme showing where the marks go.