Q. A point particle starting from rest has a velocity that increase linearly with time such that $v = pt,$ where $p = 4ms^{- 2}$. The distance covered in the first 2 $s$ will be

A) 6 m
B) 4 m
C) 8 m
D) 10 m
Explanation

(c) Given, $v = pt$
$\int_{0}^{X}{dx = p\int_{0}^{2}{t\ dt}}$
$= \frac{pt^{2}}{2} = \frac{4 \times 4}{2} = 8$m

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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