# Rocket Dog#

A rocket dog has a position along a straight track given by:

$$x(t)$$ = $$-t^3 + 2t^2 - 8t$$

where $$x$$ is in metres and $$t$$ is in seconds.

## Part 1#

What is the velocity of the rocket dog as a function of time?

Use the following table as a reference:

$$Variable$$

Use

$$t$$

t

Please enter the equation for velocity.

## Part 2#

What is the acceleration of the rocket dog as a function of time?

Use the following table as a reference:

$$Variable$$

Use

$$t$$

t

Please enter the equation for acceleration.

## Part 3#

Calculate the average velocity of the rocket dog between $$t = 0$$ $$\rm{s}$$ and $$t$$ = 10 $$\rm{s}$$.

Please enter in a numeric value in $$\rm{m/s}$$.

## Part 4#

At time $$t =$$ 10 $$\rm{s}$$, is the rocket dog moving towards the origin or away from the origin?

• The rocket dog is moving towards the origin.

• The rocket dog is moving away from the origin.