Question

Figure (3−E6) shows x-t graph of a particle. Find the time t such that the average velocity of the particle during the period 0 to t is zero.
Figure

Answer 1

The time t = 12 sec, such that the average velocity of the particle during the period 0 to t is zero.

Explanation:    

Given :

• Assume a point B at t = 0 s.
• At t = 0 sec, displacement S= 20 m
• If we draw a line from point B down to x-axis, we get that at t = 12 sec S = 20 m as well.
• For the interval of time between 0 sec and 12 sec, change in displacement = 0

We know it ,

Average velocity  $=\frac{\text {displacement}}{\text {time}}=0$

Thus, in the time interval from 0 to t = 12 sec.

Average particle velocity = 0.

Therefore, the average velocity is zero.