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

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
The relation between position $( x )$ and time ( $t$ ) are given below for a particle moving along a straight line. Which of the following equation represents uniformly accelerated motion? [where $\alpha$ and $\beta$ are positive constants]
  • A
    $\beta x=\alpha t+\alpha \beta$
  • B
    $\alpha x=\beta+t$
  • C
    $x t=\alpha \beta$
  • ✓
    $\alpha t=\sqrt{\beta+x}$
✓

Answer

Correct option: D.
$\alpha t=\sqrt{\beta+x}$
d
(d)

For uniformly accelerated motion,

$v^2=u^2+2 a s$ 

$\quad \downarrow$

Constant

or 

$s=ut+\frac{1}{2} a t^2$

$\quad \downarrow$

Constant

$x=\frac{1}{2} a t^2+u t$

Or the maximum power of $t$ has to be two.

So, $4$.

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