Miscellaneous T...

Two cars A and B are moving uniformly on two straight roads at right angles to one another at 40 and 20 km/hr respectively. A passes the intersection of the road when B has still to move 50 km to reach it. The shortest distance between the two cars and the time when they are closest arc

A person travelling towards eastwards at the rate of 4 km/hr finds that the wind seems to blow directly from the north. On doubling his speed it appears to come from north-east. ‘[he velocity and direction of the wind are

If a moving particle has two equal velocities inclined at an angle 2α such that their resultant velocity is twice as great as when they are inclined at an angle 2β, then

The speed of a boat in a river is u m/sec and that of the current is v m/sec. The boat traverse a distance of d metres down the stream and then comes back to its original position. The average speed of the boat for to and from journey is

A 30 m wide canal is flowing at the rate of 20 m/min. A man can swim at the rate of 25 m/min. in still water. The time taken by him to cross the canal perpendicular to the flow is

If a particle moves in a straight line with uniform acceleration, the distance traversed by it in consecutive seconds are in

If a point moves with constant acceleration from A to B in the straight line AB has velocities ii and v at A and B respectively, then the velocity at C, the mid-point of AB is

A particle is moving in a straight line with initial velocity u and uniform acceleration f. If the sum of the distances travelled in tth and (t + 1)th seconds is 100 cm, then its velocity after t seconds, in cm/sec. is

A point moves from rest with constant acceleration. If it covered part of its total distance in its last second of 25 motion, then upto what time is travelled

A body starts from rest and moves in a straight line with uniform acceleration F, the distances covered by it in second, fourth and eighth seconds are