A fielder at ground level throws a cricket ball with an initial speed of so that it…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A fielder at ground level throws a cricket ball with an initial speed of 30m s−1 so that it returns to the same horizontal level. The ball is required to land at a point 55m away from the point of projection.
Answer the following in the sequence given:
(a) Establish the quadratic equation in sin2θ0 that must be satisfied so that the ball lands at the required spot.
(b) Hence calculate the two possible values of the angle of projection θ0 (give each correct to the nearest tenth of a degree).
(c) For the two values obtained, identify which angle of projection will result in the greater maximum height and justify your answer without numerical computation of the height.