A curve on a highway has a radius of 25m. If the width of the road is 5m and its outer edge is 0.5m higher than the inner edge, for what maximum speed is the curve banked ?

A railway carriage of mass 10 kg is moving with a speed of 45 km/hr on a circular track of radius 400m. If the rails are 1.5m apart, find by how much the outer rail should be raised over the inner rail so that there is no side thrust on the rails.

A stone is dropped from the top of a tower and travels 24.5m in last second of its journey. What is the height of the tower?

A curve of radius 60m on the national highway is properly banked for vehicles moving at 20ms. Find the angle of banking.

A car of mass 750 kg has an engine which produces a constant power of 40 kW. If the resistance to motion assumed constant is 800 N, Find the maximum speed at which the car can travel on the road. Also find the acceleration when it is travelling at 25m/s.