Question

an athlete completes one round of circular track of diameter 200m in 40 seconds what will be distance covered and displacement at the end of 2 minute 20 second

Answer 1

Distance : 2200 m and displacement is 200 m

detail explanation:

one round circular track of 200 m dia in 40 sec

distance travelled in 2 min 20 sec = distance travelled in 120+20 = 140 sec

one complete round takes 40 sec then how many rounds he can do in 140 sec = 3.5 rounds nothing but 7/2

circumference of circle = distance travelled to complete one circular track = 2 x pie x radius means pie x diameter

7/2 rounds distance = 7/2 * pie * dia = 7/2 * 22/7 * 200 = 2200 m distance

displacement means shortest distance, though he travelled 3.5 rounds but displacement is diameter only

so displacement is 200 m

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Answer 2

Answer:

Diameter =200m

Radius = 100m

Distance in one round =Circumference= 2πr = 2*22/7*100

=4400/7

Total time = 140seconds

Total rounds=7/2

Total Distance=No.of rounds *Distance

=7/2*4400/7

=2200m

Hence distance covered =2200m

And displacement will be equal to diameter

=200m