A ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from the point OOO, 2 m above the ground. The ball is projected from O O\,O at an angle of α∘\alpha^\circα∘. In the motion the ball reaches a maximum height 3 m above the horizontal ground and passes through the point A A\,A 2 m above the ground and a horizontal distance of 8 m from OOO.
Show that U2sin2α=19.6U^2\sin^2\alpha=19.6U2sin2α=19.6.
Find the value of UUU.
Find the size of angle α\alphaα.
State one limitation of the model that could affect the accuracy of your answers.
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.