Question

a cyclist rides through a circular track of radius 100m at a speed of 6.28m/s .find the distance covered and displacement after two and half minutes

Answer 1

Step-by-step explanation:

Radius = 100m

now distance covered in 1 complete round = Perimeter of circular track

= 2* pie * radius

= 2*3.14*100 = 628 m

Now speed given = 6.28 m/s

Time to complete one round = distance/speed = 628/6.28 = 100 seconds

Total time given = 2.5 minutes = 150 seconds

no. of rounds in 150 seconds = 150/100 =1.5

this means the distance covered in 150 seconds = 628*1.5 = 942 m

and displacement in 1 round = 0 m

and after that remaining 1/2 round displacement = diameter of circular track = 2* radius = 2*100 = 200m