Laws of MotionHard

Question

A block is sliding down on an inclined plane of slope $\theta$ and at an instant $t = 0$ this block is given an upward momentum so that it starts moving up on the inclined surface with velocity $u$. The distance $(S)$ travelled by the block before its velocity become zero, is $\_\_\_\_$ .

(g = gravitational acceleration)

Options

A.$\frac{u^{2}}{4gsin\theta}$
B.$\frac{2u^{2}}{gcos\theta}$
C.$\frac{u^{2}}{\sqrt{2}gcos\theta}$
D.$\frac{u^{2}}{2gcos\theta}$

Solution

$$\begin{matrix} & a = - gsin\theta \\ & V^{2} = U^{2} + 2as \\ & 0 = u^{2} - 2gsin\theta.s \\ & s = \frac{u^{2}}{2gsin\theta} \end{matrix}$$

NTA Ans- (4)

Ans- (Bonus)

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