For , the position of a moving object is feet. Which statement correctly compares the…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

For

0\le t\le 4

, the position of a moving object is

s(t)=3t^{2}-12t+5

feet. Which statement correctly compares the object’s average velocity on

[0,4]

with its instantaneous velocity at

t=2

? (a) The average velocity on

[0,4]

is positive, while the instantaneous velocity at

t=2

is negative. (b) Both the average velocity on

[0,4]

and the instantaneous velocity at

t=2

are

0\text{ ft/s}

. (c) The average velocity on

[0,4]

is positive, while the instantaneous velocity at

t=2

0\text{ ft/s}

. (d) The average velocity on

[0,4]

0\text{ ft/s}

, while the instantaneous velocity at

t=2

is positive.