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JAMB Physics 1992 Question 5

Question 5

Motion

A stone, Q is thrown with velocity u at an angle of 75° to the horizontal. Another stone R is thrown with the same velocity u but at an angle of 15° to the horizontal. The ranges covered by the stones will be

  1. A.greater for Q
  2. B.greater for R
  3. C.the same for Q and R
  4. D.greater for the heavier of the two stones
Show the answer and explanation

Answer: C (the same for Q and R)

Explanation

Range = u² sin 2θ / g. sin 150° = sin 30°, so angles of 75° and 15° (which add up to 90°) give the same range.