MCQ
The figure shows a velocity-time graph of a particle moving along a straight line The total distance travelled by the particle is ........ $m$
- ✓$66.6$
- B$51.6 $
- C$0$
- D$36.6$
✓
Answer
Correct option: A.
$66.6$
a
Distance $=$ Area convered by $v-t$ graph on time axis $\Rightarrow \frac{1}{2}\left(+\frac{14}{3}\right) \times 10+\frac{1}{2} \times\left(8-\frac{14}{3}\right) \times 20$
Distance $=$ Area convered by $v-t$ graph on time axis $\Rightarrow \frac{1}{2}\left(+\frac{14}{3}\right) \times 10+\frac{1}{2} \times\left(8-\frac{14}{3}\right) \times 20$
$=\frac{100}{3}+\frac{100}{3}=\frac{200}{3} \Rightarrow 66.6 \mathrm{m}$
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