A particle starts from rest at $t = 0$ and undergoes an acceleration $a$ in ${ms}^{- 2}$ with time $t$ in second which is as shown Which one of the following plot represents velocity $v$ in ${ms}^{- 1}\ versus$ time $t$ in second?

Question

Dr. Abubacker · Accepted Answer

(a) A particle starts from rest at $t = 0$
The equation of motion
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v = u + at = 0 + 3 	imes 2 = 6\ {ms}^{- 1}$
The velocity for next 2 s
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v^{''''''''} = v + at$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  = 6 - 3 	imes 2 = 0$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v^{''''''''} = 0$
[image:3_image192.emf]
Hence, $v - t$ graph will be as shown.
[image:3_image193.emf]

Q. A particle starts from rest at $t = 0$ and undergoes an acceleration $a$ in ${ms}^{- 2}$ with time $t$ in second which is as shown Which one of the following plot represents velocity $v$ in ${ms}^{- 1}\ versus$ time $t$ in second?

Explanation

Reviewed by Dr. Abubacker

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