Read the passage carefully and answer the following questions. A dancer is demonstrating dance steps along a straight line. The position-time graph of the dancer is given here.

The average velocity of the dancer during time interval t = 2 s to t = 9 s is

Options

A. ` 1 m s^(-1)`
B. `- 0.57 m s^(-1)`
C. `2.75 m s^(-1)`
D. `- 0.29 m s^(-1)`

Answer

D

Explanation

During time interval t = 2 s to t=9 s, six dance steps namely AB, BC, CD, DE, EF and FG have been demonstrated by the dancer.
Total displacement = (0-2) =-2 m
Total time taken = 9 - 2 = 7 s
Average velocity = `("total displacement")/("total time taken") = (-2)/(7) = - 0.29 ms^(-1)`