A ball is projected from a point A with some velocity at an angle 30° with the horizontal as shown in Fig. Consider a target at point B. The ball will hit the target if it is thrown with a velocity v0 equal to

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A ball is projected from a point A with some velocity at an angle 30° with the horizontal as shown in Fig. Consider a target at point B. The ball will hit the target if it is thrown with a velocity v0 equal to

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5 ms-1

6 ms-1

7ms-1

None of these

answer is D.

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Detailed Solution

Applying equation of trajectory, we get
$0.5 = \frac{\sqrt{3}}{2} \tan 30 ° - \frac{g (\frac{\sqrt{3}}{2})}{2 v_{0}^{2} \cos^{2} 30 °} \Rightarrow v_{0} = \infty$