Equation of a projectile is y=√{3} x-frac{ x^2}{2} , velocity of projection is

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3-2.Motion in Plane

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The equation of a projectile is $y=\sqrt{3} x-\frac{ x^2}{2}$, the velocity of projection is

A

$3\sqrt {10} \,\,m/s$

B

$2\sqrt {10} \,m/s$

C

$10\sqrt 3 \,m/s$

D

$10\sqrt 2 \,m/s$

Solution

$y = x\tan \theta – \frac{{g{x^2}}}{{2{u^2}{{\cos }^2}\theta }}$

$\frac{g}{{2{u^2}{{\cos }^2}\theta }} = \frac{1}{2}$

$\theta = 60^o$

$u = 2\sqrt {10} \,m/\sec $

Standard 11

Physics

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