An athlete is running on a circular track. He runs a distance of 400 m in 25 s before returning to his original position. What is his average speed and velocity?

Solve the following examples: (numerical problems) A boy runs on a circular track of length 600 m in 2 minutes and returns to the starting point. Calculate his average speed and average velocity.

A man riding on a bicycle covers a distance of 60km in the direction of wind and comes back to his original position in 8 hours. If the speed of the wind is 10km/hr, find the speed of the bicycle.

An athlete completes one round of a circular track of radius R in 40s. What will be his displacement at the end of 2 min 20 s?

An aeroplane has a run of 500 m to take off from runway. It starts from rest and moves with constant acceleration to cover the runway in 30 s. What is the velocity of the aeroplane at the take off?

A train A which is 120 m long is running with velocity 20 m/s while train B which is 130 m long is running in opposite direction with velocity 30 m/s. What is the time taken by train B to cross the train A?

Consider a car initially at rest, starts to move along a straight road first with acceleration 5 m/s^2, then with uniform velocity and finally decelerating at 5 m/s^2, before coming to stop. Total time taken from start to end is t = 25s . If the average velocity during that time is 72 km/hr, the car moved with uniform velocity for a time of

Sunil is standing between two walls. The wall closest to him is at a distance of 660 m. If he shouts, he hear the first echo after 4 s and another after another 2 seconds. What is the velocity of sound in air?

A body moves from A to B at a speed of 10 m/s and back to A along the same path at a speed of 20 m/s. Find its average speed and average velocity for the journey. [Hint : If s is the distance covered by the body between A and B, average speed = (2s)/(t_1 + t_2) = (2s)/[(s/v_1)+(s/v_2)} = (2v_1v_2)/(v_1 + v_2)

The position of an object moving along the x axis is given by x = a + bt^2 where a = 8.5 and b= 2.5 m s^2 and t is measured in second. What is the velociity at t=0 s and t= 2s? What is the average velocity between t= 2 s and t=4s?

A train has just completed a U-curve in a track which is a semicircle. The engine is at the forward end of the semi-circular part of the track while the last carriage is at the rear end of the semi-circular track. The driver blows a whistle of frequency 200 Hz. Velocity of sound is 340 m//s . Then the apparent frequency as observed by a passenger in the middle of a train when the speed of the train is 30 m//s is