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} $



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