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A cyclist starts from the centre O of a ...

A cyclist starts from the centre O of a circular park of radius 1km, reaches the edge P of the park, then cycles along the PQ cicumference and returns to the centre along OQ as shown in fig. If the round trip taken ten minute, the net displacement and average speed of the cylists (in kilometer and kinetic per hour) is

A

0,1

B

`(pi + 4)/(2), 0 `

C

`21.4, ""(pi+4)/(2)`

D

0,21.4

Text Solution

Verified by Experts

The correct Answer is:
D
Since the initial position coincides with the final position. So, net displancement of the cyclist =zero
`"Aveerage speed of the cyclist"=("Total distance travelled")/("Total time taken")`
`=(OP+PQ+QO)/(10)kmmin""^(-1)=(1+(pi)/(2)xx1+1)/(10)kmmin""^(-1)`
`=(pi+4)/(20)kmmin""^(-1)=(pi+4)/(20)xx60kmh^(-1)=21.4kmh^(-1)`
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