Q.

A ball is thrown from a point with a speed v0 at an angle of projection θ. From the same point and at the same instant, a person starts running with a constant speed v0/2 to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

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a

Yes, 60°

b

Yes, 30°

c

No

d

Yes, 45°

answer is A.

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Detailed Solution

For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,v0cos⁡θ=v02 of cos⁡θ=12  of  θ=60∘
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