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Projectile Time, Height and Range

A ball is thr...

Question

A ball is thrown at an angle $θ$ with the horizontal and the range is maximum. The value of $t a n θ$ is :

A

1

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B

\sqrt{3}

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C

\frac{1}{\sqrt{3}}

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D

2

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Solution

The correct option is A $1$
The range of a projectile depends upon $s i n 2 θ$ which is maximum when angle of projection $θ = π / 4$ .
$t a n π / 4 = 1$

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