Velocity time graph for the motion of a particle along a straight line is as shown in figure.

Average speed of the particle for the whole motion is:

Options

A. 9.6 m/s
B. 7.2 m/s
C. 8.3 m/s
D. 6.5 m/s

Answer

C

Explanation

`d =` Total area under the curve
`= (1)/(2) (6t + 8t) xx 10 + (1)/(2) (2t + 4t) xx 10`
`= 70 t + 30 t`
`= 100 t`
`v_(av) = ("Total distance")/("Total time") = (100 t)/(12t) = 8.3 m//s`