Question

The velocity verse time graph of a body moving along a straight line is as shown in figure.The ratio of displacement and distance curved by body in 5 seonds:-

• A. 2:3
• B. 3:5
• C. 1:1
• D. 1.5:5

Answer 1

The correct option is B 3:5

Displacement of the body $S=\frac{1}{2}\times 2\times 3-\frac{1}{2}\times 1\times 2+1\times 1=3-1+1=3$

Distance covered by the body $D=$ Sum of magnitude of area under the v-t graph

$\therefore$ $D=\frac{1}{2}\times 2\times 3+\frac{1}{2}\times 1\times 2+1\times 1=3+1+1=5$

$⟹$ $S:D=3:5$