an athlete complete one round of a circular track of diameter 200 m in 40 s what will be the distance at the end of 2 minutes 20 s
Answers
Answer:
Step-by-step explanation:Formula- circumference=2π×radius, displacement is shortest distance between final position and initial position.
Given: radius=200/2=100m, π=22/7, time to complete one revolution=40 seconds.
Solution: Time taken to cover one revolution=40 sec. And distance covered in 1 revolution is equal to circumference of circle i.e. 2×(22/7)×100=628.57m(approx.)
Now, he ran for 2m20sec which is equal to 140 sec in total. If he covered 628.57m in 40 sec then distance covered in 140 sec = (628.57/40)×140= 2200m
For displacement= as 1 revolution was done in 40 sec so he made 3 and half revolutions in total in 140 sec. After 140 sec he is standing exactly at mid point of track. So,
Displacement= shortest distance between the final point and initial point which tends to be the diameter of the circle here.
Displacement=diameter=200m
Answer: distance covered= 2200m and displacement= 200m