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Physics Motion in a Straight Line Mix MCQ (Single Correct)

A boy can throw a stone to maximum height of 50 m. To what maximum range can he throw this stone and to what height so that the maximum range is maintained?

A
100 m, 100 m
B
100 m, 25 m
C
200 m, 50 m
D
100 m, 50 m

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Text Solution

Verified by Experts
The correct answer is:
B

For maximum height, the boy has to throw the stone at θ θ = 90 o , then

H = u 2 /2g or u 2 = 2gH

or u 2 = 2 × 9.8 × 50 = 980 (ms -1 ) 2

maximum range R = u 2 /g = 980/9.8 = 100 m

Greatest height for maximum range is given by

H =

= = 25 M

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