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PilotLPTM [1.2K]
3 years ago
15

Solve this quadratic word problem

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0
A First, solve the equation
{ - 16t}^{2} + 96t = 80
Solving will give:
5 and 1, the largest number is 5, so after 5 seconds it reaches 80 feet for the second time.
B Solve the equation
{ - 16t}^{2} + 96t = 0
Solving gives:
t = 0 and t = 6, since it cannot hit the ground within 0 seconds, your awnser is: after 6 seconds it will hit the ground.
C Find the maximum.
Use \frac{-b}{2a} to find the time in seconds.
This gives: t = 3
Filling in t = 3 gives: 144 feet.
The max. height is 144 ft.
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