Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^(-1) in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road ?

A train 110m long is travelling at 60km/h. In what time will it cross a cyclist moving at 6km/h in the opposite direction.

How can the relative velocity be determined when two particles are moving with different velocities (i) in the same direction and (ii) in opposite directions ?

Rain is falling vertically with a speed of 30 ms^(-1) . A woman rides a bicycle with a speed of 10 ms ^(-1) in the north to south direction . What is the direction in which she should hold her umbrella ?

Given the magnitude and direction of the net force acting on a car moving with a constant velocity of 30 km. h^(-1) on a rough road.

Two indentical trains are running in opposite directions over two tracks along the equator with equal speed. Will both the trains exert the same force on the tracks?

On a long horizontally moving belt (Fig.), a child runs to and fro with a speed 9 km h^(-1) (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4 km h^(-1) . For an observer on a stationary platform outside, what is the (a) speed of the child running in the direction of motion of the belt ?. (b) speed of the child running opposite to the direction of motion of the belt ? (c ) time taken by the child in (a) and (b) ? Which of the answers alter if motion is viewed by one of the parents ?

In another mine, the lift goes down 4 m in every one min. what will be the position of the lift after an hour, Let's find.