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Q. On an inclined plane of inclination $30^{\circ}$, a ball is thrown at an angle of $60^{\circ}$ with the horizontal from the foot of the incline with a velocity of $10\sqrt{3}\, ms^{-1}$. Then the ball will hit the inclined plane in

Motion in a Plane

Solution:

$T=\frac{2 \times 10\sqrt{3}\, sin \left(60^{\circ}-30^{\circ}\right)}{10\, cos \,30^{\circ}}s$
$=4\,sin \,30^{0} =2 \,s$