An ant moves along the identical steps from P to Q as shown in the figure in a figure in a duration of 8.5 seonds. Then the speed and velocity of the ant respectively are _____ m `s^(-1) and ______ m s ^(-1)`

Options

A. ` 0.5 , 5/17 `
B. 0.5, 0.5
C. ` 5/17, 5/17`
D. Cannot be determined

Answer

A

Explanation

Time taken to move along steps, T = 8.5 seconds, As all steps arte identical , the distance travelled by the ant when it climbs one step = `(1/4 + 1//4) m = 1/2 m`
Total distance travelled = `( 8 1//2 xx 1//2)` m
` = 17/2 xx 1/2 = 17/4`

Total time taken , (t) = 8.5 s
Average speed = `("total distance")/("total time ")`
` (17/4m)/(17/2 s) = 1//2 m s ^(-1) = 0.5 m s ^(-1)`
Velocity = `(" displacement")/("time") `
`2.5/8.5= 5/17`