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2. motion in straight line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
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
  • ✓
    $\frac{4}{3} t_0$
  • B
    $\frac{3}{2} t_0$
  • C
    $\frac{5}{3} t_0$
  • D
    $\frac{8}{3} t_0$
✓

Answer

Correct option: A.
$\frac{4}{3} t_0$
a
(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 $t=\frac{u}{a}=\frac{4}{3} t_0$

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