A bomb is dropped from an aeroplane moving horizontally with a speed of 200 mph (miles per hour). If the air resistance is negligible, the bomb will reach the ground in 5 sec when the altitude is (g = 10ms-2):
Correct answer: C. 125 m
- A. 4 miles
- B. 40 m
- C. 125 m
- D. 10 m
Explanation
The bomb is released from an aeroplane moving horizontally, but its vertical motion is influenced solely by gravity. The horizontal speed of 200 mph does not affect the time taken to hit the ground. The formula for vertical distance under gravity is d = 1/2 * g * t^2. Here, g = 10 m/s² and t = 5 s, so the distance d = 1/2 * 10 * 5² = 125 m.Option A is incorrect because it uses the wrong unit (miles instead of meters). Option B also underestimates the distance, while Option D severely underestimates it. Only Option C correctly identifies the vertical distance as 125 m.
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