The length of path covered by a moving body between its initial and final positions is called the distance covered by the body. Distance is a scalar quantity, and its SI unit is meter. Distance always increases with time.

An athlete completes one round of a circular track of diameter 49 m in 20 s . Calculate the distance covered and displacement at the end of 30 s .

Given that, Diameter of the track, D = 49 m Time taken for one cycle, T = 20 s Total time taken by the athlete, t = 30 s Total rounds completed in 30 s is, n = t T = 30 20 = 1 . 5 We know that the distance per one round is equal to the circumference of a circle which is equal to πD . Thus, the total distance travelled (let it be x ) in 30 s is, x = nπD = 3 πD 2 = 3 2 × 22 7 × 49 = 231 m After completing one and half round, the athlete will be at the exact opposite point of the circle. That is, the displacement will be equal to the diameter which is 49 m .

An arrow drawn from the initial position to the final position of a moving body represents the displacement. The shortest distance between the initial and the final positions of a moving body is the magnitude of displacement of a body. Note: Displacement is a vector quantity.

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If the distance travelled by an object is zero, then the displacement of the object is

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