A bus is moving with a velocity $10\, ms^{-1}$ on a straight road. A scooterist wishes  to overtake the bus in $100\, s$. If the bus is at a distance of $1\, km$ from the scooterist,  with what velocity should the scooterist chase the bus ?.........$ms^{-1}$

A person travels along a straight road for half the distance with velocity ${v_1}$ and the remaining half distance with velocity ${v_2}$ The average velocity is given by

A very large number of balls are thrown vertically upwards in quick succession in such a  way that the next ball is thrown when the previous one is at the maximum height. If the  maximum height is $5\, m$, the number of balls thrown per minute is (take $g = 10\, ms^{-2}$) :-

If average velocity of particle moving on a straight line is zero in a time interval, then

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

The displacement-time graph for two particles $A$ and $B$ are straight lines inclined at angles of $30^o$ and $60^o$ with the time axis. The ratio of velocities of $V_A : V_B$ is