PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two identical steel balls, P and Q, are released simultaneously from the same height of 100m above level ground. Ball P is dropped from rest. Ball Q is projected horizontally with a speed of 20ms−1. Air resistance is negligible.
(a) Derive expressions for the vertical position of each ball as a function of time, measured from the instant of release.
(b) Show that both balls reach the ground at the same instant and calculate that time interval.
(c) Determine the horizontal distance from the release point to the landing point of ball Q.
(d) A student claims that ball Q must take longer to reach the ground because it travels a greater total distance. Evaluate the validity of this claim, supporting your answer with physical reasoning.