Answers FL-1200330-Algebra 2 CR Modeling with Functions — Unit testQuestion 1

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Modeling with Functions — Unit test

Question 1 • FL-1200330-Algebra 2 CR

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?

Answer

A

0.65 seconds

B

0.92 seconds

C

1.08 seconds

D

1.15 seconds

Explanation

Using feet and seconds, Sharon’s height is 18 + 4t − 16t², and the ball’s height is 5 + 16t − 16t². Set the heights equal; the gravity terms cancel, giving 18 + 4t = 5 + 16t. Solving gives 13 = 12t, so t = 13/12 ≈ 1.08 seconds. The correct choice is C, 1.08 seconds.

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