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Find the angle of projection of a projec...

Find the angle of projection of a projectile for which the horizontal range and maximum height are equal.

A

`alpha = tan^-1(2)`

B

`alpha = tan^-1(4)`

C

`alpha = tan^-1(5)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Given, R=H
`:. (u^2 sin2alpha)/(g) = (u^2sin^2alpha)/(2g) or 2sin alpha cos alpha = (sin^2alpha)/(2)`
or `(sinalpha)/(cosalpha) = 4 or (tanalpha)=4`
`:. alpha = tan^-1(4)`
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