54. When the maximum range of a pro...
Question

# 54. When the maximum range of a projectile is R, then its maximum height is (a) R (b)

NEET/Medical Exams
Physics
Solution
192
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We know that for maximum horizontal range, ( theta=45^{0} ) and horizontal range, R= ( frac{u^{2}}{g} ) ( therefore ) max imum height ( , h=frac{u^{2} sin ^{2} theta}{2 g}=frac{u^{2} sin ^{2} 45^{0}}{2 g} ) [ begin{aligned} h &=frac{u^{2}}{4 g} therefore h &=frac{R}{4} end{aligned} ]