application problem algebra

Height of a Volleyball

In the position function for vertical height,

s(t)=12at2+v0t+s0

$s\left(t\right)=\frac{1}{2}a{t}^2+v_{0}t+s_0$ , s(t) represents the height in meters and t represents time in seconds. Remember to thoroughly explain each step of this problem.

• Find the position function for a volleyball served at an initial height of one meter, with height of 6.275 meters 0.5 seconds after the serve, and height of 9.1 meters one second after serve. Think back to chapter 3 and review your notes from section 3.5. If you are having trouble with this part, please get help because the rest of the problem depends on your answer to this question. (3 points)
• How long until the ball hits the ground on the other side of the net if everyone on the team completely misses it? Give an exact value and a decimal approximation rounded to two decimal places. (4 points)
• After how many seconds will the ball reach its peak? (3 points)
• How high will the ball be at its peak? (3 points)
• Graph the function you found in the first part. Given the context of this problem, what would be an appropriate domain for the function? (3 points)

Give total explanation to your answers and explain the process of how you get the answers, if not I will not get full points so please be clear and extend in your explanations.

thank you.