Question

In the given v-t graph the distance traveled by the body in 5 seconds will be

• A. 100 m
• B. 80 m
• C. 40 m
• D. 20 m

Answer 1

The correct option is B 80 m

Magnitude of area under the $v-t$ graph gives the distance travelled by the body.

For $0\le t\le 4s$ :

Displacement $S_1=$ Area $=\frac{1}{2}\times (20+40)\times 2+\frac{1}{2}\times (1+2)\times 20=90m$

For $4\le t\le 5s$ :

Displacement $S_2=$ Area $=\frac{1}{2}\times 1\times 20=10m$

Total distance $d=S_1+S_2=90+10=100m$

Option A is correct.