Velocity of a body moving along a straight line with uniform acceleration a reduces by frac{3}{4} of

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2.Motion in Straight Line

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Velocity of a body moving along a straight line with uniform acceleration $a$ reduces by $\frac{3}{4}$ of its initial velocity in time $t_0$. The total time of motion of the body till its velocity becomes zero is

A

$\frac{4}{3} t_0$

B

$\frac{3}{2} t_0$

C

$\frac{5}{3} t_0$

D

$\frac{8}{3} t_0$

Solution

(a)

$\frac{u}{4}=u-a t_0$

$\therefore a=\frac{3 u}{4 t_0}$

or $\frac{u}{a}=\frac{4}{3} t_0$

$Now , 0=u-a t$ or $t=\frac{u}{a}=\frac{4}{3} t_0$

Standard 11

Physics

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