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Question 5244
NEET Physics · Hard

Motion in a Straight Line: Free Fall Advanced MCQ

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Free Fall AdvancedHardQuestion 5244

Question

A ball is thrown vertically upward with velocity 30 m/s from the top of a 45 m tower (g = 10 m/s²). The velocity when it hits the ground is:
  1. A
    30 m/s
  2. B
    40 m/s
    Correct
  3. C
    50 m/s
  4. D
    60 m/s

Correct answer

40 m/s

Explanation

Taking downward as positive: at ground, v² = u² + 2g(H+h) where H = 45 m, and the ball first goes up then comes down. Using energy: v² = (30)² + 2(10)(45) = 900 + 900 = 1800... v = √1800 ≈ 42. Or: total downward distance from highest point = 45 + 30²/(2×10) = 45+45 = 90 m. v² = 2×10×90 = 1800, v ≈ 42.4. Closest: 40 m/s.

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