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 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 constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^-1 to 3.5 m s^-1 in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force ?

A cyclist starats from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in the figure.If he maintains constant speed of 10 ms^(-1) , what is his acceleration at point R in magnitude and direction?

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?

A cyclsit goes around a circular track once every 2 minutes. If radius of the circular track is 110 m, calculate the speed of the cyclist.

A cyclist speeding at 18 km h^-1 on a level road makes a sharp circular turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 0.1 will the cyclist slip while taking the turn?

A cyclist is moving on a circular track of radius 80 m with a velocity of 72 km//h .He leans from the direction through an angle of :

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed of 20 km h^-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period Tof the bus service and with what speed (assumed constant) do the buses ply on the road?