SOLUTION: A ball is hit into the air from a height of 4 feet. The function g(t)=-16t^2+120t+4 can be used to model the height of the ball where t is the time in seconds after the ball is hi

Question 1170723: A ball is hit into the air from a height of 4 feet. The function g(t)=-16t^2+120t+4 can be used to model the height of the ball where t is the time in seconds after the ball is hit.
a.About how long is the ball in the air?
b.When is the ball back to 4 feet off the ground?
c.How high is the ball after 4 seconds?
d.When is the ball 150 feet in the air?
e.What is the maximum height the ball reaches? How many seconds does it take for this max to occur?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a. About how long is the ball in the air?

....

need only positive solution

≅ seconds

b. When is the ball back to feet off the ground?

....simplify

need only positive solution

seconds

c. How high is the ball after seconds?

feet

d. When is the ball feet in the air?

need only positive solution

≅ seconds

e. What is the maximum height the ball reaches? How many seconds does it take for this max to occur?
max is at vertex, write equation in vertex form
....complete square

.......

=> and
vetex is at (,)
max is , and it will take seconds for this max to occur

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