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Question: A stone is projected from the ground with velocity \(25m/s\). Two seconds later, it just clears a wa...

A stone is projected from the ground with velocity 25m/s25m/s. Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is (g=10m/sec⁡2)(g = 10m/\sec^{2})

A

30o30^{o}

B

45o45^{o}

C

50.2o50.2^{o}

D

60o60^{o}

Answer

30o30^{o}

Explanation

Solution

For vertical upward motion h=ut−12gt2h = ut - \frac{1}{2}gt^{2}

5=(25sin⁡θ)×2−12×10×(2)25 = (25\sin\theta) \times 2 - \frac{1}{2} \times 10 \times (2)^{2}

⇒25 = 50 sin θ ⇒sin⁡θ=12\sin\theta = \frac{1}{2} ⇒ θ=30∘\theta = 30{^\circ}