An athlete completes one round of a circular track of diameter 200 m in 40 s. If he continues to run, what will be the distance covered and the displacement at the end of 2 minutes 20 s respectively ? (1) 2200m , 200m (2) 2200m, 0m (3) 4400m, 400m (4) 2200m, 400m
Answers
Answer:
Explanation:here is your answer
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.
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SOLUTION :-
Given,
=>Diameter (d) = 200 m
=>Radius (r) = 100 m
=>Displacement is defined as the shortest distance possible between the initial position and the final position.
=>Since the athlete moves in circular motion displacement is zero because initial and final positions are the same.
=>Distance covered in 1 round = Circumference of the circle
=>Circumference of the circle = 2πr
=>where π = 22/7
=>The athlete completes one round in the 40s.
=>Distance covered in 40 sec, i.e in one round = 2 × (22/7) × 100
=>Distance covered in 40 sec = 628.57m……………..(1)
=>Distance covered in 1 sec = x m…………………….(2)
=>Cross multiplication of (1) and (2) gives the value of x.
=> .°. x = 15.71 m
=>Distance covered in 2min 20 sec 0r 140 sec = 15.71 × 140