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. `0.5,4.5/14`
B. 0.5, 0.5
C. `5/17,4.5/17`
D. Cannot be determined

Answer

A

Explanation

Time taken to move along the steps,
T = 8.5 s.
As all the steps are identical, the distance travelled by the ant when it climbs one step
= `(1/4+1/4)m=1/2m`
The total distance travelled = `(8(1)/2xx1/2)m`
= `17/2xx1/2=17/4m`

The total time taken, (t) = 8.5 s.
Average speed = `("total distance")/("total time")`
`(17/4m)/(17/2s)=1/2ms^(-1)=0.5ms^(-1)`
Velocity = `("displacement")/("time")=2.25/8.5=4.5/17ms^(-1)`.