A girl riding a bicycle with a speed of 5m/s towards north direction, observer rain falling vertically down. If she increass her speed to 10 m//s, rain appear to meet her at `45^@` to the vertical. What is the speed of the rain?

A girl riding a bicycle along a straight road with a speed of 5 ms^-1 throws a stone of mass 0.5 kg which has a speed of 15 ms^-1 with respect to the ground along her direction of motion. The mass of the girl and bicyle is 50 kg. Does the speed of the bicycle change after the stone is thrown? What is the change in speed, if so?

A 5 kg ball is trhown up with a speed of 10 m/s. Find its kinetic energy at the time of throw.

A police car running on a highway with a speed of 30 km//h fires on the vehicle of thiefs running in the same direction at a speed of 192 km//h . If the velocity of the bullet is 150 m//s then with what velocity the bullet will hit the thiefs ?

A particle executing circular motion of radius 5 m and linear speed of 3 ms^-1 which is increasing at the rate of 2 m s^-2 .What is the acceleration of the particle?

Rain is falling vertically with a speed of 30 ms^-1 . A woman rides a bicycle with a speed of 10 m s^-1 in the north to south direction. What is the direction in which she should hold her umbrella ?

A 5 kg ball is trhown up with a speed of 10 m/s. What is the height to which it rises?

A cyclist is riding with a speed of 27 km//h . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m//s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

Give the magnitude and direction of the net force acting on:- a drop of rain falling down with a constant speed.