Question

A cyclist complete one round along a circular path of length 200m in 30seconds .If he continues cycling for 1min 45sec .then find

a- distance travelled
b- displacement
c- speed
d- velocity ​

Answer 1

Answer:

b. displacement

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Answer 2

The diameter of the circular track is given as 200 m. That is, 2r=200 m.

From this radius is calculated as Radius, r

= 100 m.

In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140/40 = 3.5 (three and a half) rounds.

One round is considered as the circumference of the circular track.

The distance covered in 140 sec = 2лr x

3.5 = 2 x 3.14 x 100 x 3.5 = 2200 m.

For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.

At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m. Hence, the distance covered is 2200 m and the displacement is 200 m.