Question

10. An athlete runs around a circular track of diameter 400 m. what distance will he cover after making 2 rounds of the track and what will be his displacement.

Answer 1

Hyy Dude

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 = 2πr×3.5=2×3.14×100×3.5=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

May this helps you

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Answer 2

Answer:

GIVEN

Diameter of track = 400 m

TO FIND

1. Distance in 2 rounds of track
2. Displacement

SOLVING

radius of track = diameter/2 = 400/2 = 200 m

DISTANCE

Distance is length travelled between two or more points , actual path is considerable.

distance covered in one round = circumference of track

distance = 2*pi*r

= 2*3.14*200

= 400*3.14

= 1256 m

distance in 2 rounds = 2*1256

= 2512 m

DISPLACEMENT

Shortest distance between two points actual path doesn't matter.

displacement = 0

because the person is reaching at the same point from where he started.

ANSWER

1. Distance covered in two rounds = 2512 m
2. displacement covered in2 rounds = 0 m