Miscellaneous T...

To a man running at a speed of 20 km/hr. the rain drops appear to be falling at an angle of 30^oC from the vertical. If the rain drops are actually falling vertically downwards, their velocity in km/hr is

A body is moving in a straight line with uniform acceleration. it covers distances of 10 m and 12 m in third and fourth seconds respectively. Then the initial velocity in m/sec is

A stone is dropped from a certain height which can reach the ground in 5 sec. If the stone is stopped after 3 seconds of its fall and then time taken by the stone to reach the ground for the remaining distance is

A man in a balloon, rising vertically with an acceleration of 4.9 m/sec² release a ball 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the ball is

A hockey stick pushes a ball at rest for 0.01 second with an average force of 50 N. lithe ball weighs 0.2 kg, then the velocity of the ball just after being pushed is

A man falls vertically under gravity with a box of mass on his head. Then the reaction force between his head and the box is

A man of mass 80 kg is travelling in a lift. The reaction between the floor of the lift and the man when the lift is ascending upwards at 4 m/sec² is

A ball is dropped from a height h on a horizontal plane and the coefficient of restitution for the impact is e, the velocity with which the ball rebounds from the floor is

A gun projects a ball at an angle of 450 with the horizontal. If the horizontal range is 39.2 m, then the ball will rise to

If the range of any projectile is the distance equal to the height from which a particle attains the velocity equal to the velocity of projection, then the angle of projection will be