Question 954484
A toy rocket is launched from the top of a building 340 feet tall at an initial velocity of 80 feet per second. The height of the rocket t seconds after launch is given by the equation s(t)=-16t^2+80t+340. When does the rocket reach its maximum height? What is the maximum height?
----------------
Maximum height occurs when t = -b/2a
----
t = -80/(2*-16) = 2.5 seconds
----
Max height = s(2.5) = -16(2.5)^2 + 80(2.5) + 340 = 442.5 ft
-------------
Cheers,
Stan H.
-------------