Atoy rocket is launched from the top of a building 54 feet tall at an initial velocity of 168 feet per second.
a) give the function that describes the height of the rocket in terms of time t.
b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet.
c) for what time interval will the rocket be more than 62 feet above ground level?
d) after how many seconds will it hit the ground?
a) the function that describes the height of the rocket in terms of t is s(t)=
b) the rocket reaches its maximum height of
feet after approximately
.
(round to the nearest hundredth as needed.)
c) the rocket will be more than 62 feet above ground level for all values of t in the interval
(type your answer in interval notation. do not round until the final answer. then round to the nearest hundredth as needed.)
d) the rocket will hit the ground after seconds.
(round to the nearest hundredth as needed.)