A frictionless wire $AB$ is fixed on a circle of radius $R$. A very small bead slips on this wire. Time taken by bead to slip from $A$ to $B$ is
$\frac{{2\sqrt {gR} }}{{g\,\cos \,\theta }}$
$2\sqrt {gR} \left( {\frac{{\cos\, \theta }}{g}} \right)$
$2\sqrt {\frac{R}{g}} $
$\frac{{gR}}{{\sqrt {g\,\cos\, \theta } }}$
Acceleration versus velocity graph of a particle moving in a straight line starting from rest is as shown in figure. The corresponding velocity-time graph would be
A point moves with uniform acceleration and $\upsilon _1,\upsilon _2$ and $\upsilon _3$ denote the average velocities in the three successive intervals of time $t_1, t_2$ and $t_3$. Which of the following relations is correct
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
A man is, $d$ distance behind a bus. The bus moves away from the man with an acceleration $a$. At the same time, man starts running towards bus with a constant velocity $v$.
A man in a balloon rising vertically with an acceleration of $4.9\, m/sec^2$, releases a ball $2\, seconds$ after the balloon is let go from the ground. the greatest height above the ground reached by the ball is ..........$m$ :-