SOLUTION: A water balloon is dropped from the roof of a 60-foot building with an initial velocity of 20 feet per second. The height of the balloon can be modeled by a function. a. What i

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Question 870209: A water balloon is dropped from the roof of a 60-foot building with an initial velocity of 20 feet per second. The height of the balloon can be modeled by a function.
a. What is the function that represents the height of the balloon at a specific time? Use h(t) to represent the function.
b. How long does it take the balloon to reach the ground? (Round the answer to the nearest tenth of a second.)
c. What is the balloon’s height at t = 0.5 seconds?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A water balloon is dropped from the roof of a 60-foot building with an initial velocity of 20 feet per second. The height of the balloon can be modeled by a function.
a. What is the function that represents the height of the balloon at a specific time? Use h(t) to represent the function.
b. How long does it take the balloon to reach the ground? (Round the answer to the nearest tenth of a second.)
c. What is the balloon’s height at t = 0.5 seconds?
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Assuming the 20 ft/sec is upward (since it's positive):
a. What is the function that represents the height of the balloon at a specific time? Use h(t) to represent the function.
h%28t%29+=+-16t%5E2+%2B+20t+%2B+60 (commonly used for English units, tho it's not my place to spec the function)
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b. How long does it take the balloon to reach the ground? (Round the answer to the nearest tenth of a second.)
Solve h%28t%29+=+-16t%5E2+%2B+20t+%2B+60 for h(t) = 0. Ignore the negative solution.
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c. What is the balloon’s height at t = 0.5 seconds?
h%28t%29+=+-16t%5E2+%2B+20t+%2B+60
That would be h(0.5)