Q. A particle starts from rest at $t = 0$ and undergoes an acceleration a in $ms^{- 2}$ with time $t$ in seconds which is as shown

Which one of the following plot represents velocity $V$ in $ms^{- 1}$ versus time $t$ in seconds

A) [image:3_image78.emf]
B) [image:3_image79.emf]
C) [image:3_image80.emf]
D) [image:3_image81.emf]
Explanation

(a) [image:3_image184.emf]
Taking the motion from $0$ to $2\ s$
$u = 0,\ a = 3ms^{- 2},\ t = 2s,\ v = ?$
$v = u + at = 0 + 3 \times 2 = 6ms^{- 1}$
Taking the motion from $2\ s$ to $4\ s$
$v = 6 + ( - 3)(2) = 0ms^{- 1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.