The flight of one type of rocket is described by a function h = −5(t − 3)2 + 50, where

Question

h is the height of the rocket, in metres, and t is the time, in seconds, since the rocket
was fired.
a. What was the max height of the rocket?

b. At what time the max height was reached?

c. What was the initial height of the rocket?

d. What was the height of the rocket after 2 seconds of the flight? At what another
time this height was reached?

e. Was the rocket in the air after 6 sec?