Q.
A particle starts from rest at $t = 0$ and moves in a straight line with acceleration as shown in figure. The velocity of the particle at $t = 3\ s$ is
A) $2\ {ms}^{- 1}$
B) $4\ {ms}^{- 1}$
C) $6\ {ms}^{- 1}$
D) $8\ {ms}^{- 1}$
Explanation
(b) Velocity at $3s =$ total algebraic sum of area under the curve
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ v = 4 \times 2 - 4 \times 1 = 4\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.