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A ball is thrown from a point with a speed  \nu _{o} at any angle of projection \Theta. From the same point and at the same instant a person starts running with a constant speed  \nu _{o}/2 to catch the ball. Will the person  be able to catch the ball ? If yes , what should be The angle of projection ?

Option: 1

Yes, 60o


Option: 2

Yes, 30o


Option: 3

no, 75o


Option: 4

Yes, 45o


Answers (1)

best_answer

The person will catch the ball if his speed and horizontal speed of the ball are same

=\nu _{0}\cos \Theta = \frac{\nu _{0}}{2}\Rightarrow \cos \Theta = \frac{1}{2}= \cos 60^{\circ}\: \: \therefore \Theta = 60^{\circ}

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