Question

Velocity versus displacement graph of a particle moving in a straight line as shown in Fig. The acceleration of the particle:

• A. Is constant
• B. Increases linearly with $x$
• C. Increases parabolically with $x$
• D. None of these

Answer 1

The correct option is B Increases linearly with $x$

From $V-S$ graph

acceleration, $a=V.\frac{dv}{ds}$

as $V$ varies linearly with $x$,

$\frac{dv}{ds}=$ constant

$\therefore a\alpha V$

$\Rightarrow$ acceleration varies linearly with $x$.