Question

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? at the same time, mins little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. what polynomial models the height of this ball, in feet? -16t² + t +

Explanation:

Step1: Identify the initial - vertical velocity value

The initial vertical velocity of Min's little brother's ball is 20 feet per second. In the polynomial \(-16t^{2}+vt + h_{0}\), \(v\) represents the initial vertical velocity. So \(v = 20\).

Step2: Identify the initial - height value

The initial height of Min's little brother's ball is 4 feet. In the polynomial \(-16t^{2}+vt + h_{0}\), \(h_{0}\) represents the initial height. So \(h_{0}=4\).

Answer:

\(-16t^{2}+20t + 4\)