First slide

Projection Under uniform Acceleration

Question

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?

Easy

A

Yes, 60°
B

Yes, 30°
C

No
D

Yes, 45°

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.,
$v_{0} \cos θ = \frac{v_{0}}{2} of \cos θ = \frac{1}{2} of θ = 60^{\circ}$

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