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A projectile is fired at speed v at an a...

A projectile is fired at speed v at an angle `theta` with horizontal. If radius of curvature at the tip equals half the maximum height, when `theta = tan^(-1) sqrtx`. What is x ?

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The correct Answer is:
4
`a_(C ) = g = (v^(2) cos^(2) theta)/(r ) = (v^(2) cos^(2) theta)/((H//2))`
`= (v^(2) cos^(2) theta xx 2g)/(v^(2) sin^(2) theta)`
`tan^(2) theta = 2`
`tan theta = sqrt2 = sqrtx`
`x = 2`
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