Q. The linear momentum of a particle varies with time $t$ as $p = a + bt + ct^{2}$ Which of the following statements is correct?
A) Force varies with time in a quadratic manner
B) Force is time-dependent
C) The velocity of the particle is proportional to time
D) The displacement of the particle is proportional to $t$
Explanation
(b) $F = \frac{d}{dt}(p)$
$F = \frac{d}{dt}(a + bt + ct^{2})$ or $F = b + 2ct$
Clearly, the force is time-dependent
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.