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For given value of u, there are two angl...

For given value of u, there are two angles of projection for which the horizontal range is the same. the sum of the maximum heights for these two angles is

A

independent of the angle of projection

B

dependent of the angle of projection.

C

May depend on angle of projection

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
There are two angles of projection `alpha and 90^(@) - alpha` for which the horizontal range R is same.
Now `H_(1) = (u^2 sin^2alpha)/(2g) and H_2 = (u^2 sin^2(90^@-alpha))/(2g) = (u^2 cos^2alpha)/(2g)`
Therefore, `H_1 + H_2 = (u^2)/(2g)(sin^2alpha+cos^2alpha)`
`(u^2)/(2g)`
`(u^2/(2g))`
Clearly the sum of the heights for the two angles of projection is independent of the angle of projection.
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