Question

The polynomial –16t² + 30t + 6 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?

1) -16t² + 30t + 6
2) -16t² + 20t + 4
3) -16t² + 30t + 4
4) -16t² + 20t + 6

Answer 1

The polynomial that models the height of the ball is -16t² + 30t + 4.

Step-by-step explanation:

The polynomial that models the height of the ball is option 3) -16t² + 30t + 4.

To determine this, we need to consider the quadratic equation given. The coefficient of t² is -16, and the coefficient of t is 30. The constant term is 6. Comparing this with the general form of a quadratic equation, which is at² + bt + c, we can see that v = 30 and h0 = 6.

Therefore, the polynomial that models the height of the ball is -16t² + 30t + 4.