Motion in a Str...

A river flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go the south.

A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

An express train is moving with a velocity v₁. Its driver fins another train is moving on the same track in the same direction with velocity v₂ . to escape collision, driver applies a retardation a on the train, minimum time of escaping collision will be

Two trains are moving with equal speed in opposite direction along two parallel railway tracks. If the wind a blowing with speed u along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1 : 2, then the speed of each train must be

Two cars A and B are moving with same speed of 45 km/hr along same direction. If a third car C coming from the opposite direction with a speed of 36 km/hr meets two cars in an interval of 5 min, the distance of separation of two cars A and B should be (in km)

A ball A is thrown up vertically with a speed u and at the same instant another ball B is released from a height h. At time t, the speed of A relative to B is

A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three sec. The body has fallen for a time of

A ball falls from height h. After 1 sec, another ball falls freely from a point from where the first ball falls. Both of them reach the ground at the same time. What is the value of h?

A ball P is dropped vertically and another ball Q is thrown horizontally with the same velocities from the same height and at the same time. If air resistance is neglected then