Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 minutes 20 s?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

Distance = 2200 m, Displacement = 200 m

b

Distance = 200 m, Displacement = 2000 m

c

Distance = 2000 m, Displacement = 0 m

d

Distance = 0 m, Displacement = 2000 m

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

The diameter of the circular track, d =200 m.

Therefore,  d= 2r=200 m.

Radius,       r= 100 m.
Given that, time taken by the athlete for 1 round is =40 s.

In 2 mins and 20 secs, the athlete will complete,                           2 mins 20 secs/40 = 140 / 40 = 3.5 rounds.
The distance covered in 140 sec =2πr x 3.5                                                                                        =2×3.14×100×3 =2200 m.
For 1 complete round, the displacement = zero. 

Therefore for 3 complete rounds, the displacement= zero.

At half of the round, the displacement is nothing but the diameter of the track which is 200m.
Hence, the distance covered = 2200 m and the displacement = 200 m.

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring