Question

A bird files with a speed $v=|t-2|m/s$ along a straight line, where $t$ is the time in seconds. The distance travelled by the bird during first four seconds is equal to

• A. $2m$
• B. $4m$
• C. $6m$
• D. $8m$

Answer 1

Answer: (B)

$4m$

For $t=0$ to $t=2$
$v=-t+2$
For $t=2$ to $t=4$
$v=t-2$
Area of the graph of $v$ v/s $t$ is
$(\frac{1}{2}\times 2\times 2)\times 2=4m$