Question

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?​

Answer 1

Answer:

200pi-40sec,1sec-5pi.distance travelled-700pi, displacement-100pi

Answer 2

$\bold\purple{\large{\underline{\underline{Given:-}}}}$

• Time taken to complete one round of circular track = 40s
• Diameter of circular track = 200m

$\bold\purple{\large{\underline{\underline{To \: find:-}}}}$

• Distance covered at the end of 2 minutes 20s
• Displacement at the end of 2 minutes 20s

$\bold\purple{\large{\underline{\underline{Formula \: used:-}}}}$

• Diameter of circle = 2r
• Circumference of circle = 2πr

$\bold\purple{\large{\underline{\underline{Step \: by \: step \: explaination:-}}}}$

☯ First we have to calculate the diameter of circular track that is by using the given formula of Diameter of circle.

⟹ 2r

⟹ 2×100

⟹ 200m

☯ Now we have to calculate the circumference of circular track that is by using the formula of circumference of circle.

⟹ 2×22/7×100

⟹ 44/7 × 100

⟹ 4400/7

☯ Calculating the distance covered by athlete. But first we have to convert the given time which is in minutes into seconds.

1 minute = 60 s

2 minutes = 60×2

60×2+20

140s

Now calculating..

⟹ 4400/7 × 140/40

⟹ 110×20

⟹ 2200 m

☯ Calculating the number of rounds in 140s..

⟹ 140/40

⟹ 3.5

☯ As we know for each complete round the displacement would be zero. Thus three rounds displacement would be zero.

Hence, displacement after 140s would be:

⟹ 200 m

$\bold\purple{\large{\underline{\underline{Answer:-}}}}$

Distance covered = 2200m

Displacement after 2minutes 20s = 200m