Two projectiles are fired from the same point with the same initial speed
PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two projectiles are fired from the same point with the same initial speed. One is launched at an angle θ above the horizontal, and the other at 90∘−θ. Both land at the same horizontal distance from the launch point. Which of the following best explains why their ranges are equal?
(a) Each projectile spends the same time in the air because their vertical components of the initial velocity are identical.
(b) The product of the horizontal and vertical components of the initial velocity is the same for both launches, so each projectile covers the same horizontal distance.
(c) The horizontal component of the initial velocity is the same for both launch angles, resulting in identical ranges.
(d) Both projectiles reach the same maximum height, which guarantees that they land at the same horizontal distance.