Velocity of an object in rectilinear motion is given as function of time by v = t -t^3 , where v is

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2.Motion in Straight Line

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Velocity of an object in rectilinear motion is given as function of time by $v = t -t^3$, where $v$ is in $m/s$ and $t$ is in seconds. Its average velocity over the time interval from $t = 0\ s$ to $t = 2\ s$ is........$m/s$

A

$0$

B

$1$

C

$2$

D

determinable, if initial position is known

Solution

$\mathrm{v}=\mathrm{t}-\mathrm{t}^{3} \quad$ average velocity $=\int_{0}^{2} \frac{\left(\mathrm{t}-\mathrm{t}^{3}\right) \mathrm{dt}}{2}=-2$

Standard 11

Physics

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