9
QuizMultiple Choice

Modeling with Quadratic Equations

Question 9 • FL-1200330-Algebra 2 CR

Two children are throwing a baseball back and forth. The ball is 4 ft above the ground when it leaves one child’s hand with an upward velocity of 36 ft/s. If acceleration due to gravity is –16 ft/s2, how high above the ground is the ball 2 s after it is thrown?h(t) = at2 + vt + h0

Answer
A
12 ft
B
20 ft
C
76 ft
D
116 ft

Explanation

Use the height equation h(t) = at² + vt + h₀, with a = −16, v = 36, h₀ = 4, and t = 2. Then h(2) = (−16)(2²) + 36(2) + 4 = −64 + 72 + 4 = 12 ft. The ball is 12 ft above the ground, so the correct choice is A.

AI-written and checked against the verified answer.

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