A car is moving along a semicircular track ashsown in the figure in a duration of `2pi` second from P to Q. then choose the correct statement (s).

Options

A. The distance coverd by the car is 14 m.
B. The average velocity of the car is `2.23 m s ^(-1)`
C. The average speed of the car is ` 3.5 m s ^(-1)`
D. Both (b) and ( c )

Answer

D

Explanation

Time taken to travel = ` 2pi r s `
total distance travelled
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(d) = (2pir)/2= pir`
` pi (7)`
` 7 pi m `
Average speed of the car = ` (7 pi) / (2pi) = 3.5 m s^(-1)`
Average velocity = `("total displacement")/(" total time taken") = ( 7+7)/(2pi)`
= `(14 xx 7)/(2xx 22)`
`49/22 m s^(-1)`
` 2.23 ms ^(-1)`