A smooth inclined plane is inclined at an angle $\theta$ with horizontal. A body starts from rest and slides down the inclined surface. Then the time taken by it to reach the bottom is
$\sqrt {\left( {\frac{{2h}}{g}} \right)} $
$\sqrt {\left( {\frac{{2l}}{g}} \right)} $
$\frac{1}{{\sin \,\theta }}\,\sqrt {\frac{{2h}}{g}} $
$\sin \,\theta \,\frac{{\sqrt {\left( {2h} \right)} }}{g}$
A graph between the square of the velocity of a particle and the distance $s$ moved by the particle is shown in the figure. The acceleration of the particle is $...........m/s^2$
A body of mass $10\, kg$ is moving with a constant velocity of $10 \,m/s$. When a constant force acts for $4 \,seconds$ on it, it moves with a velocity $2 \,m/sec$ in the opposite direction. The acceleration produced in it is...........$m/{\sec ^2}$
A small block slides down on a smooth inclined plane, starting from rest at time $t=0 .$ Let $S_{n}$ be the distance travelled by the block in the interval $\mathrm{t}=\mathrm{n}-1$ to $\mathrm{t}=\mathrm{n} .$ Then, the ratio $\frac{\mathrm{S}_{\mathrm{n}}}{\mathrm{S}_{\mathrm{n}+1}}$ is
The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3}$ $ms^{-2}$ in the third second is