# Motion of watermelon#

The position of a watermelon is given by $$x(t) =$$ 4$$t^2 -$$6$$t -$$3 where $$x$$ is in meters and $$t$$ is in seconds.

## Part 1#

What is the velocity of the watermelon as a function of time?

Hint: Assume that the units are $$m \over s$$. There is no need to include them in your equation.

Use the following table as a reference.

For

Use

$$t$$

t

## Part 2#

At what time, if ever, is the watermelon at rest? (Enter -1 if the watermelon is never at rest)

Please enter in a numeric value in $$s$$.

## Part 3#

What is the acceleration of the watermelon as a function of time?

Please enter in a numeric value in $${m/s}^2$$.

## Part 4#

Is the speed of the watermelon increasing or decreasing at $$t=0$$ $$s$$?