Question

A cyclist completes half round of a circular track of radius 3.8 m in 1.5 minutes. find its speed and velocity

Answer 1

Answer :-

Speed = 10.75 m/s

Velocity = 7.06 m/s

DEFINITION :-

Speed is defined as the ratio of total distance traveled to Total time taken.

Velocity is defined as the ratio of total displacement to Total time taken.

Here, we are given that the cyclist has traveled half round of circular track.

SOLVED :-

Radius of track, r = 318 m

Time taken, t = 1.5 min = 90 sec

Please refer to attached image.

Total distance traveled here = Perimeter of Half Circle.

Distance = Total Displacement here = AB which is the diameter of circular path

So, Displacement = 2 318 m = 636 m

Hence,

So, answers are:

Speed = 10.75 m/s

Velocity = 7.06 m/s

Hope fully it help you