# Rocket#

A rocket has a velocity (pointing away from the launch pad) given by $$v(t)$$=6$$t$$-$$t^2$$ where $$x$$ is in meters, and $$t$$ is in seconds.

Please enter in fractions rather than decimals when applicable (e.g. use 1/2 rather than 0.5)

## Part 1#

(a) If the rocket started at height $$x(0)$$ = 0, What is the height as a function of time in $$m$$?

## Part 2#

(b) What is the acceleration as a function of time in $$m/s^2$$?

## Part 3#

(c) What is the average acceleration between $$t =$$ 0$$s$$ and $$t =$$ 4$$s$$?

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

## Part 4#

(d) At what time does the rocket stop rising upwards and begin falling down?

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