Question

Find the distance covered by a particle during the time interval $t=0$ and $t=6\text{s}$ for which the speed time graph is shown in figure

• A. $90\text{m}$
• B. $60\text{m}$
• C. $75\text{m}$
• D. $50\text{m}$

Answer 1

The correct option is C $75\text{m}$

Distance is given by the area enclosed by speed-time graph
The given graph is

$\therefore$ We have
Distance $=$ Area $=\frac{1}{2}\times 6\times 25=75\text{m}$