Q. The displacement of a particle is given by $y = a + bt + ct^{2} - dt^{4}$. The initial velocity and acceleration are respectively

A) $b,\ - 4d$
B) $- b,\ 2c$
C) $b,\ 2c$
D) $2c,\ - 4d$
Explanation

(c) $y = a + bt + ct^{2} - dt^{4}$
$\therefore v = \frac{dy}{dt} = b + 2ct - 4dt^{3}$ and $a = \frac{dv}{dt} = 2c - 12dt^{2}$
Hence, at $t = 0,\ v_{initial} = b$ and $a_{initial} = 2c$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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