Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of `72 km h^-1` in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by `1 m s^-2`. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them ?

Two trains A and B are moving on parallel tracks with same speed and in the same direction. An observer P is sitting in train A and another person Q is sitting in train B. Is Q at rest with respect to P?

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s^-1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other ?

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h^-1 and train B moves south with a speed of 90 km h^-1 . What is the relative velocity of B with respect to A

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h^-1 and train B moves south with a speed of 90 km h^-1 .relative velocity of ground with respect to B?

A car A is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car B which in moving with a speed of 70 km/h. When the distance between then is 2.5km, the car B is given a deceleration of 20km//h^2 . After how much time will B catch up with A

A police van moving on a highway with a speed of 30 km h^-1 fires a bullet at a thiefs car speeding away in the same direction with a speed of 192 km h^-1 . If the muzzle speed of the bullet is 150 m s^-1 with what speed does the bullet hit the thiefs car ? (Note: Obtain that speed which is relevant for damaging the thief s car).

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 Tof the bus service and with what speed (assumed constant) do the buses ply on the road?