Question

The velocity-time graph of a particle moving in a straight line is as shown in figure. Find the total displacement of the particle during its journey.

• A. $50\text{m}$
• B. $62\text{m}$
• C. $38\text{m}$
• D. $60\text{m}$

Answer 1

The correct option is C $38\text{m}$

Given, velocity-time graph as below

Displacement of the particle is the area under the velocity-time curve
So, it is given as
$S=\frac{1}{2}\times 4\times 20-\frac{1}{2}\times 2\times 2=38\text{m}$