AS Daily A Level Physics question
In a lab, a small steel ball rolls off a horizontal bench 1.0 m high with negligible air resistance. If the launch speed is doubled while the height stays the same, which statement about the time to hit the floor and the horizontal distance travelled is correct?
Answer
The correct answer is B.
Correct: B — Time to hit the floor is unchanged; horizontal distance doubles. The vertical motion (and so time of flight) depends only on height and g, so it is unchanged; horizontal distance x is proportional to horizontal speed v (x = v × t), so doubling v doubles x. A is wrong because the time of flight does not depend on horizontal speed. B is correct as explained. C is wrong because the time of flight does not halve when the horizontal speed is increased; it is set by the vertical drop. D is wrong because while the time is unchanged, the horizontal distance increases in direct proportion to the launch speed.