AS Daily A Level Physics question
A student uses a launcher to fire a small ball from ground level at 35° to the horizontal on a calm day. Air resistance is negligible. If the launch speed is doubled while keeping the angle the same, what happens to the horizontal range?
Answer
The correct answer is A.
Correct: A — The range becomes four times larger. For a fixed launch angle and g, the horizontal range is proportional to the square of the launch speed, so doubling the speed gives (2u)^2 = 4u^2 and hence four times the range. B assumes the range is directly proportional to speed, missing the square dependence. C confuses the relationship by implying a square-root change rather than a square change. D is wrong because changing the launch speed changes both the horizontal speed and time of flight, so the range cannot stay the same.