A stone is thrown horizontally from the top of a 20 m high building with a speed of 12~m/s. It hits the ground at a distance R from the building. Taking g=10~m/s^{2} and neglecting air resistance will give :

  1. A. R=12~m
  2. B. R=18~m
  3. C. R=24m
  4. D. R=30~m

Correct Answer: C. R=24m

Explanation

Time of flight t = \sqrt{2h/g} = \sqrt{2 \times 20 / 10} = 2 seconds. Horizontal range R = v \times t = 12 \times 2 = 24 m.

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