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Matter In Our Surroundings

Question
CBSEENSC9005789

A circular track has a circumference of 3140 m with AB as one of its diameter. A scooterist moves from A to B along the circular path with a uniform speed of 10 m/s. Find
(a) distance covered by the scooterist,
(b) displacement of the scooterist, and
(c) time taken by the scooterist in reaching from A to B.

Solution

Circumference of the circular track = 3140 m
left parenthesis straight a right parenthesis space Distance space covered space equals space 1 half cross times space Circumference
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 half cross times space 3140 space equals space 1570 space straight m. space Ans. space
left parenthesis straight b right parenthesis space Displacement space equals space Diameter space AB space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space Circumference over straight pi
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 3140 space straight m over denominator 3.14 space end fraction space space equals space 1000 space straight m. space

left parenthesis straight c right parenthesis space Time space taken space equals space Distance over Speed

space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 1570 over denominator 10 space ms to the power of negative 1 end exponent end fraction space space equals space 157 space straight s. space