Question

The velocity ($v$) - time ($t$) graph of a body is as shown in the figure. What is the displacement in $5s$?

• A. $2m$
• B. $3m$
• C. $4m$
• D. $5m$

Answer 1

The correct option is B $3m$

Displacement, is equal to the total area under the graph. Total area upto $5s$ equals the sum of areas of $\Delta OAB,\Delta BCD$ and rectangle $DEFG$.

$d_5=(\frac{1}{3}\times 3\times 2)+(\frac{1}{2}\times 1\times (-2))+(1\times 1)$
$d_5=3-1+1=3m$