Question

what is displacement ?An athlete completes 1 round of circular track
of radius 105 m in 40 sec. What will be the distance covered and the displacement covered and the displacement after 1 min 20 sec.

Answer 1

1.A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point.

2.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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