Question

Figure shows the graph of $x-$ coordinate of a particle moving along $x-$ axis as a function of time. Average velocity during $t=0$ to $6s$ and instantaneous velocity during $t=3s$ respectively, will be :

Answer 1

Let the total displacement $0s$ to $6s$ is $D$ and the time is $t$.

The average velocity from $0s$ to $6s$ is given as,

$v_{avg}=\frac{D}{t}$

$=\frac{10+0+10-20}{6}$

$=0m/s$

Since, the instantaneous velocity at a time is equal to the slope of velocity time graph at that time.

The instantaneous velocity at $3s$ is given as,

$v_i=0$

Thus, the average velocity from $0s$ to $6s$ is $0m/s$ and the instantaneous velocity at $3s$ is $0m/s$.