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Question: Two stones are projected with the same speed but making different angles with the horizontal. Their ...

Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is p/3 and its maximum height is y1 then the maximum height of the other will be –

A

3y1

B

2y1

C

y1/2

D

y1/3

Answer

y1/3

Explanation

Solution

For same range q and 90 – q are angles of projection. 600 and 300

y1 = u2sin⁡2602g\frac{u^{2}\sin^{2}60}{2g} and y2 = u2sin⁡2302g\frac{u^{2}\sin^{2}30}{2g}

y2y1=13\frac{y_{2}}{y_{1}} = \frac{1}{3} ̃ y2 = y13\frac{y_{1}}{3}