A particle moves along a line with velocity meters per second

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

Problem

A particle moves along a line with velocity

v(t)=3t^{2}-4t+1

meters per second, where

t

is measured in seconds. What is the particle’s acceleration at

t=2

seconds? (a)

12\text{ m/s}^2

(b)

8\text{ m/s}^2

(c)

16\text{ m/s}^2

(d)

6\text{ m/s}^2