A flare was launched straight up from the ground with an initial velocity of 176 ft/s and returned to the ground after 11 s. The
height of the flare t seconds after launch is modeled by the function f(t)=−16t2+176t . What is the maximum height of the flare, in feet?
2 answers:
The answer is 484 just took the test
Answer:
484 feet is the answer.
Step-by-step explanation:
Maximum value of f(t) = 
is given by when t = 
which give t = 5.5 seconds
maximum height is when we plug t = 5.5 seconds in equation
more over time of flight is 11 seconds (given )
it will be at its maximum when time is half of 11 seconds.
that is 5.5 seconds
maximum height is obtained by plugging t = 5.5seconds.
f(5.5) = -16(5.5)(5.5) + 176(5.5)
= -484 +968
= 484 feet
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