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andy6128
01.07.2020 •
Mathematics
Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon
What is the maximum height of the water balloon?
How long does it take to reach its maximum height?
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Ответ:
Step-by-step explanation:
Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.
Velocity = dH/dt = 0
dH/dt = -32t+32 = 0
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
Substituting t = 1sec into the modeled equation of the height
H = -16t²+32t+48
H = -16(1)²+32(1)+48
H = -16+80
H = 64 feet
The maximum height of the water balloon is 64 feet
b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.
64 = -16t²+32t+48
-16t²+32t = 16
16t²-32t+16 = 0
t²-2t+1 = 0
t²-t-t+1 = 0
t(t-1)-1(t-1) = 0
(t-1)² = 0
t-1 = 0
t = 1sec
It took the water balloon 1 sec to reach its maximum height.
Ответ:
i think 200
Step-by-step explanation: