A woman walks down a straight path to drop a letter in the letterbox and then returns to her starting point. The figure below depicts her displacement–time graph. With the help of a displacement - time graph, find the velocity of a woman.

Initially at time t = 0, the displacement = 0 and at time t = 50s, displacement =100 m

we know velocity = Displacement / Time

$\frac{100-0}{50-1}=2{\mathrm{ms}}^{-1}$

and after time t = 50 s, the velocity is decreasing at a uniform rate.

At t = 100 s, displacement = 0

Therefore, in this case, velocity = $\frac{0-100}{100-50}=-2{\mathrm{ms}}^{-1}$

Therefore, the velocity time graph will be,

Hence, option C is correct.