Question

An athlete complete one round of a circular track of diameter 200m what will be the distance and displacement of the athlete.

Answer 1

Answer:

Explanation:

DIAMETER OF THE TRACK= 200 M

RADIUS OF THE TRACK= 200/2

                                        =100 M

AFTER COMPLETING ONE FULL ROUND

DISTANCE TRAVELLED = 2*PI* RADIUS            [CIRCUMFERENCE OF THE

                                                                                     CIRCULAR TRACK]

DISTANCE TRAVELLED= 2*31.4*100

                                       = 2*314

                                       = 628 M

DISPLACEMENT= SHORTEST DISTANCE BETWEEN INITIAL AND FINAL POSITION

AFTER COMPLETING ONE ROUND THE ATHLETE COMES BACK TO THE THE SAME STARTING POINT AND HENCE THE STARTING POINT AND THE ENDING POINTS ARE THE SAME

HENCE DISPLACEMENT= 0 M.

HOPE THIS HELPS.

Answer 2

Answer:

Explanation:

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.