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Question: A cricketer ball is thrown at a speed of 30 m s<sup>-1</sup> a direction \(30^{o}\)above the horizon...

A cricketer ball is thrown at a speed of 30 m s-1 a direction 30o30^{o}above the horizontal. The time taken by the ball to return to the same level is. (Take g = 10 m s-2)

A

2 s

B

3 s

C

4 s

D

5 s

Answer

3 s

Explanation

Solution

Here, u=30s−1,θ=30∘u = 30s^{- 1},\theta = 30{^\circ}

The time taken by the ball to return to the same level is

T=2usin⁡θg=2×30ms−1×sin⁡30∘10ms−2=3sT = \frac{2u\sin\theta}{g} = \frac{2 \times 30ms^{- 1} \times \sin 30{^\circ}}{10ms^{- 2}} = 3s