Question

The position of particle along $x$ axis is given by $x=t^2-5t+6$, where $x$ is in meters & $t$ is in seconds. The distance covered in first 3 seconds is

• A. 6.0 m
• B. 7.0 m
• C. 8.0 m
• D. 6.5 m

Answer 1

The correct option is D 6.5 m


Distance = Path length
$x=t^2-5t+6$
$u=2t-5$
Distance$=A_1+A_2$
$\frac{1}{2}\times 5\times 2.5+\frac{1}{2}\times 1\times 0.5$
$=6.25+0.25=6.5$ m