5) The height of a rocket after it is launched
For this case, what you should do is remember the kinematics expressions where we have:
a
v = a * t + vo
y = a * t ^ 2 + vo * t + i
Where,
a: acceleration
v: speed
y: vertical position
t: time
vo: initial speed
yo: initial position
We observe that the expression for the given position is given by a quadratic expression.