A cyclist going at a speed of `24 km h^-1`,takes a turn of 6.70 m radius .Find the inclination of his cycle to vertical.

A cyclist goes round a circular path of radius 20.0 m with a speed of 14 m s^-1 .Find the angle through which his cycle makes with vertical. (g=9.8 ms ^-2) .

The radius of curvature of a railway track at a place where the train is moving at a speed of 72 km h^-1 is 625 m.The distance between the rails is 1.5 m.Find the angle and the elevation of the outer rail so that there may be no side pressure on the rails. (g=9.8 m s^(-2)) .

A car is moving with a speed of 30 m s^(-1) on a cricular path of radius 500 m.Its linear speed is increasing at the rate of 2 m s^(-2) .Find the values of its net acceleration.

An aeroplane travelling at a speed of 500 km h^-1 banks at an angle of 30^@ as it makes a turn .What is the radius of the curve?

A car is moving at a speed of 18 km . It starts retarding uniformly at 1m/s and cover to rest. Find the distance travelled.

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 ?

A bus decrease its speed from 80 km h^(-1) to 60 km h^(-1) in 5 sec. Find acceleration of the bus.