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Addition and Subtraction of Polynomials

Question 42 • OK-Algebra II A

The polynomial –16t2 + vt + h0 models the height, in feet, of a ball t seconds after it is thrown. In this polynomial, v represents the initial vertical velocity of the ball and h0 represents the initial height of the ball.Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?

Answer
A
14t² + 6
B
-16t² + 36t
C
-16t² + 6t + 30
D
-16t² + 30t + 6

Explanation

The model is −16t² + vt + h₀, where v is the initial vertical velocity and h₀ is the initial height. Substituting v = 30 and h₀ = 6 gives −16t² + 30t + 6. Therefore, the correct choice is D, −16t² + 30t + 6.

AI-written and checked against the verified answer.

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