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A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :
A train of 150 meter length is going towards north direction at a speed of \[10m/\sec \]. A parrot flies at the speed of \[5\,\,m/\sec \] towards south direction parallel to the railway track. The time taken by the parrot to cross the train is
A boat is moving with velocity of \[3\hat i + 4\hat j\] in river and water is moving with a velocity of \[ - 3\hat i - 4\hat j\] with respect to ground. Relative velocity of boat with respect to water is :
The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is
For a body moving with relativistic speed, if the velocity is doubled, then
A river is 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 to 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 $v_1$. Its driver finds another train is moving on the same track in the same direction with velocity $v_2$. To escape collision, driver applies a retardation a on the train. the minimum time of escaping collision will be
A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is

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