The displacement of a particle moving in a straight line is given by (metres)

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

Problem

The displacement of a particle moving in a straight line is given by

x = 3t + 2

(metres). Find its instantaneous velocity at

t = 4\,\text{s}

. (a)

14\,\text{m s}^{-1}

(b)

3\,\text{m s}^{-1}

(c)

12\,\text{m s}^{-1}

(d)

5\,\text{m s}^{-1}