Two stones A and B are projected simultaneously from the same point on level ground…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two stones A and B are projected simultaneously from the same point on level ground with the same initial speed v0. Stone A is thrown at an angle θ with the horizontal while stone B is thrown at an angle (90∘−θ) with the horizontal. Neglect air resistance.
(i) Prove that the horizontal ranges of the two stones are equal.
(ii) Derive an expression for the ratio of their maximum heights HA/HB in terms of θ.
(iii) If v0=20m s−1 and θ=30∘, calculate
(a) the common horizontal range,
(b) the time of flight of each stone, and
(c) the individual maximum heights. Take g=9.8m s−2.