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

Answer 1

Answer: (B)

Uniform

Answer 2

Velocity, $v^{2} = 2 - 3x$

Differentiating with respect to t, we get

$2v\frac{dv}{dt} = - 3.\frac{dx}{dt}$ ⇒ $2v\frac{dv}{dt} = - 3v$ ⇒ $\frac{dv}{dt} = - \frac{3}{2}$

Hence, acceleration is uniform.