Question

In $v-t$ graph shown in fig. the distance travelled by the body in $5$ seconds will be

• A. $20\text{m}$
• B. $40\text{m}$
• C. $80\text{m}$
• D. $100\text{m}$

Answer 1

The correct option is D $100\text{m}$

Distance travelled is the sum of magnitudes of areas under the $v-t$ graph
Area between $v-t$ graph and time - axis $=\frac{1}{2}\times 2\times 20+3\times 20+\frac{1}{2}\times 1\times 20+\frac{1}{2}\times 1\times 20$
$=100\text{m}.$