Question

this is a multi - part item. the polynomial (-16t^2 + vt + h_0) 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 (h_0) 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? (-16t^2 + 36t) (-16t^2 + 6t + 30) (14t^2 + 6) (-16t^2 + 30t + 6)

Explanation:

Step1: Identify given values

We know the polynomial is $-16t^2 + vt + h_0$, where $v = 30$ (initial vertical velocity) and $h_0 = 6$ (initial height).

Step2: Substitute values into polynomial

Substitute $v = 30$ and $h_0 = 6$ into $-16t^2 + vt + h_0$.
We get $-16t^2 + 30t + 6$.

Answer:

$-16t^2 + 30t + 6$ (the last option: $-16t^2 + 30t + 6$)