A block is sliding down on an inclined plane of slope and at an instant t=0 this block is given an upward motion so that it starts moving up on the inclined surface with velocity u.

Question

A block is sliding down on an inclined plane of slope $θ$ 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 becomes zero is ______.

(g = gravitational acceleration) [2026]

Smart Achievers · Accepted Answer

(4)

$a = - g \sin θ$

$V^{2} = U^{2} + 2 a s$

$0 = u^{2} - 2 g \sin θ \cdot s$

$s = \frac{u^{2}}{2 g \sin θ}$

Solution

1 $\frac{u^{2}}{4 g \sin θ}$

2 $\frac{2 u^{2}}{g \cos θ}$

3 $\frac{u^{2}}{\sqrt{2} g \cos θ}$

4 None of these

Ans.
(4)

$a = - g \sin θ$

$V^{2} = U^{2} + 2 a s$

$0 = u^{2} - 2 g \sin θ \cdot s$

$s = \frac{u^{2}}{2 g \sin θ}$

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Solution

1 u24gsinθ

2 2u2gcosθ

3 u22 gcosθ