Question

Find the distance covered by a particle during the time interval $t=0$ to $t=20\text{s}$ for which the speed-time graph is shown in the figure.

• A. $200\text{m}$
• B. $100\text{m}$
• C. $250\text{m}$
• D. $150\text{m}$

Answer 1

The correct option is A $200\text{m}$


The distance covered in the time interval $0$ to $20\text{s}$ is equal to the area of the shaded triangle.

So,
$\text{Distance covered}=\frac{1}{2}\times \text{base}\times \text{height}$
$=\frac{1}{2}\times 20\times 20=200\text{m}$