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Question: The maximum horizontal range of a projectile is 400 m. The maximum height attained by it will be...

The maximum horizontal range of a projectile is 400 m. The maximum height attained by it will be

A

100 m

B

200 m

C

400 m

D

800 m

Answer

100 m

Explanation

Solution

RmaxR_{\max} [when θ=45\theta = 45{^\circ}]

So from the Relation R=4HcotθR = 4H\cot\theta400=4Hcot45400 = 4H\cot 45{^\circ}

H=100m.H = 100m.