Mathematics

Problem

The position of a particle moving in one dimension is given by

x = 4t^{2}+3t

, where

x

is in meters and

t

is in seconds. Using the average velocity over the interval from

4.00\,\text{s}

4.01\,\text{s}

, what is the approximate velocity of the particle at

t = 4.00\,\text{s}

? a)

36\,\text{m/s}

32\,\text{m/s}

35\,\text{m/s}

38\,\text{m/s}