A ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from the point OOO, 40m above the horizontal ground. The ball is projected at an angle of 45∘ 45^\circ\,45∘ above the horizontal. The ball hits the ground at the point BBB, where AB=40 mAB = 40 \text{ m}AB=40 m. The motion of the ball is modelled as that of a particle moving freely under gravity.
Find the value of UUU.
Find the maximum height of the ball above the ground.
In a refined model the effect of air resistance is included. How would this value compare to your answer in part (a).
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.