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

1. No
2. Yes, 30°
3. Yes, 60°
4. Yes, 45°

Correct answer: Yes, 60°

Solution

The person can catch the ball if they run at the same speed as the ball's horizontal component of motion. At an angle of 60°, the vertical and horizontal components of the ball's trajectory allow the runner to reach the same horizontal distance as the ball when it lands, making it possible for the catch.

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