Question

A particle moves in a straight line in such a way that its velocity at any point is given by $v^2=2-3x$, where x is measured from a fixed point. The acceleration is

• A. Uniform
• B. Zero
• C. Non-uniform
• D. Indeterminate

Answer 1

The correct option is A Uniform

Velocity,$v^2=2-3x$
Differentiating with respect to t, we get
$2v\frac{dv}{dt}=-3.\frac{dx}{dt}\Rightarrow 2v\frac{dv}{dt}=-3v\Rightarrow \frac{dv}{dt}=-\frac{3}{2}$
Hence acceleration is uniform.