A particle is moving with speed along the positive -axis

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle is moving with speed

v = b\sqrt{x}

along the positive

x

-axis. Calculate the speed of the particle at time

t = \tau

(assume that the particle is at the origin at

t = 0

). (1)

\frac{b^2\tau}{4}

(2)

\frac{b^2\tau}{2}

(3)

b^2\tau

(4)

\frac{b^2\tau}{\sqrt{2}}