Question

A particle moves according to the equation v = a√x. Find the average velocity in the first s metrs of the path.

• A. √s/a
• B. √s/2a
• C. 2a/√s
• D. 2√s/a

Answer 1

Answer: (D)

2√s/a

Answer 2

dx/dt = a√x

or $\int_{0}^{s}{\frac{dx}{\sqrt{x}} = \int_{}^{}{adt}ort = \frac{2\sqrt{s}}{a}}$.

v_av = $\frac{s}{t} = \frac{2\sqrt{s}}{a}$