The position of a car after seconds is metres

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

Problem

The position of a car after

t

seconds is

s(t)=3t^{2}+2t

metres. During the interval from

t=1

s to

t=3

s, at which one of the following times is the instantaneous speed equal to the average speed on the interval? (a)

t=1.5\text{ s}

(b)

t=\dfrac{7}{3}\text{ s}

(c)

t=2\text{ s}

(d)

t=\dfrac{7}{4}\text{ s}