Kinematics Question 392
Question: Two particles start moving from rest from the same point along the same straight line. The first moves with constant velocity v and the second with constant acceleration a. During the time that elapse before the second catches the first, the greatest distance between the particles it’s
Options:
A) $ \frac{{{v}^{2}}}{a} $
B) $ \frac{v^{2}}{2a} $
C) $ \frac{2{{v}^{2}}}{a} $
D) $ \frac{{{v}^{2}}}{4a} $
Show Answer
Answer:
Correct Answer: B
Solution:
Initial relative velocity, $ {{v} _{AB}}\text{=v}-0=v\text{.} $
Acceleration $ {{a} _{AB}}=0-\text{a=a} $
For max. Separation $ {{v} _{AB}}=0 $
$ \text{0=}{{v}^{2}}-2as\Rightarrow \text{s=}\frac{{{v}^{2}}}{2a} $
