Two points move in the same straight line starting at the same mo… - Vidyadip

MCQ

Two points move in the same straight line starting at the same moment from the same point in it. The first moves with constant velocity $u$ and the second with constant acceleration $f$. During the time elapses before the second catches, the first greatest distance between the particle is $........$

A
$\frac{u}{f}$
✓
$\frac{u^2}{2 f}$
C
$\frac{f}{2 u^2}$
D
$\frac{f}{u^2}$

✓

Answer

Correct option: B.

$\frac{u^2}{2 f}$

b
(b)

The greatest distance, when velocities of both are equal.

$\text { or } \quad f t=u$

$t=\frac{u}{f}$

$s_1=u t=\frac{u^2}{f}$

and

$s_2=\frac{1}{2} f t^2=\frac{u^2}{2 f}$

$\therefore \quad s_{\max }=s_1-s_2=\frac{u^2}{2 f}$

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