If an object is thrown upward with an initial velocity of 32ft/second, then it's height after t seconds is given by H(t) = 32t - 16t² a. What's the height when the object hits the ground? b. How much time has passed when the object hits the ground? c. Determine the domain of the function.

If an object is thrown upward with an initial velocity of 32ft/second, then it's height after t seconds is given by H(t) = 32t - 16t² a. What's the height when the object hits the ground? b. How much time has passed when the object hits the ground? c. Determine the domain of the function.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 4CT

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Question

If an object is thrown upward with an initial velocity of 32ft/second, then it's
height after t seconds is given by
H(t) = 32t - 16t²
a.
What's the height when the object hits the ground?
b. How much time has passed when the object hits the ground?
c. Determine the domain of the function.

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Step 1: Define the problem.

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Step 2: Find the height when the object hits the ground.

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Step 3: Determine the time when the object hits the ground.

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Step 4: Find the domain of the function.

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