A block is placed on an inclined plane moving towards right horizontally with an acceleration $a_{0} = g$ . The length of the plane $AC = 1 m$ . Friction is absent everywhere. The time taken by the block to reach from $C$ to $A$ is $(g = 10 m / s^{2})$

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Drawing a free body diagram of the block with respect to the plane.

Acceleration of the block up the plane is

$a = \frac{mgcos 30 ° - mgsin 30 °}{m} = (\frac{\sqrt{3} - 1}{2}) g = 3 .66 m / s^{2}$

Applying $s = \frac{1}{2} {at}^{2}$

$t = \sqrt{\frac{2 s}{a}} = \sqrt{\frac{2 \times 1}{3 .66}} = 0 .74 s$

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