Kinematics

JEE Main level, single correct, medium

281 of 308

Question 281 of 308

Two stones are projected from the top of a cliff h\mathrm{h} metres high, with the same speed u\mathrm{u}, so as to hit the ground at the same spot. If one of the stones is projected at an angle θ\theta to the horizontal then the θ\theta equals

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Answer: (A) u2gh\mathrm{u} \sqrt{\frac{2}{\mathrm{gh}}}

R=u2 h g=(ucos⁡θ)×t\mathrm{R}=\mathrm{u} \sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}}=(\mathrm{u} \cos \theta) \times \mathrm{t}
t=1cos⁡θ2hgt=\frac{1}{\cos \theta} \sqrt{\frac{2 h}{g}}

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