Question

In a stright line motioon the distance travelled is proportoional to the square root of the time taken. The acceleration of the particle is proportional to :-

• A. $velocity$
• B. $v^2$
• C. $v^3$
• D. $\sqrt{v}$

Answer 1

The correct option is C $v^3$

$x=k\sqrt{t}$

$v=\frac{k}{2}{t}^{-1/2}$

Acceleration $=\frac{k}{4}{t}^{-3/2}$

$=\frac{-k}{2}{v}^3$

$a\alpha v^3$