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A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be

1. 20√(2) m
2. 10 m
3. 10√(2) m
4. 20 m

Correct answer: 20 m

Solution

Thrown straight up to H = 10 m means u^2/(2g) = 10, so u^2 = 20g. The maximum horizontal range (at 45 degrees) is R = u^2/g = 20 m.

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