For the motion described by (in metres)

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

Problem

For the motion described by

x(t)=3t^{2}+2t+1

(in metres), calculate the instantaneous velocity at

t=4\,\text{s}

. (a)

24\;\text{m/s}

(b)

32\;\text{m/s}

(c)

26\;\text{m/s}

(d)

23\;\text{m/s}