AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

An athlete completes one round of a circular track of diameter $200 m$ in $40 s$ . At the end of $2 \min 20 s$ the distance covered by the athlete is $m$ and displacement is $m$ .

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

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

An athlete completes one round of a circular track of diameter

200 m

40 s

. At the end of

2 \min 20 s

the distance covered by the athlete is

2200 m

and displacement is

200 m

.
The diameter of the circular track is

200 m

which means that the radius of the track is

100 m

.
If an athlete in

40 s

completes one round then in

2 \min 20 s

the athlete will complete,

2 \times 60 + 20 = 120 + 20

= 140 s

\frac{140}{40} = 3 \frac{1}{2} rounds

So, athlete completes three rounds and half more so, the distance covered will be,

= 2 πr \times 3 + \frac{1}{2} \times 2 πr

= 6 πr + πr

= 7 πr

= 7 πr

= 7 \times π \times 100

= 7 \times \frac{22}{7} \times 100

= 2200 m

The distance covered by athletes is

2200 m

.
Displacement is the shortest distance between initial and final position which is

2 r

as the athlete covers three rounds and half rounds more.

Displacement = 2 r

= 2 \times 100

= 200 m

The distance covered by the athlete is

2200 m

and the displacement is

200 m

at the end of

2 \min 20 s

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

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!