Question

An athlete Completes one round of a Circular track of radius R in 40 seconds.what will be his displacement at the end of 2 minute 20 seconds ?


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Answer 1

Answer:

Hii

Explanation:

At 2 minute the athlete has completed 2

loops of the circle and is at his initial

position now in the next 20 second it is obvious that he is at the exact opposite side of the circle.

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➡️ The displacement will be equal to diameter.

➡️ Given that radius is R so diameter i.e Displacement becomes

$\huge{\bf{\orange{\fbox{\underline{\color{red}{2R}}}}}}$

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And rounds = $\huge{\bf{\green{\fbox{\underline{\color{blue}{3.5}}}}}}$

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Answer 2

Given :

▪ Radius of circular track = R

▪ Time taken by athlete to complete one round = 40s

To Find :

▪ Displacement of athlete at the end of 2min 20s

Concept :

↗ Displacement is defined as the shortest distance b/w initial and final point of the entire journey.

↗ It is a vector quantity.

↗ It has both magnitude as well as direction.

↗ It can be positive, negative or zero.

↗ SI unit : m

Calculation :

☞ 2min 20s = 140s

☞ no. of rounds = 140/40 = 3.5

▪ Displacement after the given interval of time = Δ Position

$\bigstar\:\underline{\boxed{\bf{\red{Displacement=2R}}}}$