Q.
The velocity-time relation of an electron starting from rest is given by $v = kt$ where $k = 2ms^{- 1}$. The distance traversed in first 3 s is
A) 9 m
B) 16 m
C) 27 m
D) 36 m
Explanation
(a) Given that $u = 0$ (the electron starts from rest), At any time $v = kt = 2t$
$a = \frac{du}{dt} = 2ms^{- 1}$(Constant acceleration)
Now $s = ut + \frac{1}{2}at^{2}$
$= 0 \times 3 + \frac{1}{2} \times 2 \times (3)^{2}$
$= 9$m
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.