A Train Is Moving Southwards At A Speed Of 30 Ms–1. A Monkey Is Running Northwards On The Roof Of The Train With A Speed Of 5ms–1. What Is The Velocity Of The Monkey As Obserced By A Person Standing On The Ground?

A man wants to reach point B on the opposite bank of a river flowing at a speed. What minimum speed relative to water should the man have so that he can reach point B. In which direction should he swim?

A train is moving eastwards with a velocity of 10 m/sec. On a parallel track another train passes with a velocity 15 m/sec eastwards. To the passengers in the second train the first train appears to be moving with a velocity.

A man can swim at a speed of 3 km/hr in still water. He wants to cross a 500 m wide river flowing at 2 km/hr. He keeps himself always at angle of 120o with the river flow when swimming find the time he takes to cross the river.

A jet airplane traveling from east to west at a speed of 500 kmh^–1 ejects out gases of combustion at a speed of 1500 kmh^–1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?   

A police van moving on a highway with a speed of 36 km h^–1 fires a bullet at a thief’s car speeding away in the same direction with a speed of 108 km h^–1. If the muzzle speed of the bullet is 140 ms^–1, with what speed will the bullet hit the thief’s car?    

Car A is moving with a speed of 36 km h^–1 on a two-lane road. Two carsB and C, each moving with a speed of 54 km h^–1 in opposite direction on the other lane are approaching car A. At a certain instant when the distance AB = distance AC = 1 km, the diver of car B decides to overtakeA before C does. What must be the minimum acceleration of car B so as to avoid an accident?   

The driver of a train A moving at a speed of 30 ms^–1 sights another trainB moving on the same track at a speed of 10 ms^–1 in the same direction. He immediately applies brakes and achieves a uniform retardation of 2 ms^–1. To avoid collision, what must be the minimum distance between the trains?      

The driver of a train A moving at a speed of 30 ms^–1 sights another trainB moving on the same tack towards his train at a speed of 10 ms^–1. He immediately applies brakes and achieves a uniform retardation of 4 ms^–2. To avoid head-on collision, what must be the minimum distance between the trains?