Question

If the velocity of a body moving in a straight line is proportional to the square root of the distance traversed, then it moves with-

• A. Variable force
• B. Constant force
• C. Zero force
• D. Zero acceleration

Answer 1

Answer: (B)

Constant force

Answer 2

Here v∝$\sqrt{s}$⇒ V=λ$\sqrt{s}$; dv/dt= λ × 1/2$\sqrt{s}$× ds/dt

⇒$\frac{dv}{dt}$=$\frac{\lambda}{2\sqrt{s}}$× λ ($\sqrt{s}$) = $\frac{\lambda^{2}}{2}$= constant

acceleration = constant

⇒ body moves with constant force.