Answer:
the height of the ball after 2 seconds is 132 feet
Maximum height of the ball is 147.016 feet
domain is t>=0
Step-by-step explanation:
The function that models this situation is [tex]h(t) = -16t^2 + 95t + 6[/tex]
To find the height of the ball after 2 seconds, we plug in 2 for t
[tex]h(2) = -16(2)^2 + 95(2) + 6=132[/tex]
the height of the ball after 2 seconds is 132 feet
To find maximum height we find out vertex
We apply formula x=-b/2a
a=-16 , b= 95
[tex]x=\frac{-b}{2a} =\frac{-95}{2(-16)}=2.969[/tex]
now we plug in 2.969 and find out y
[tex]h=-16(2.969)^2 + 95(2.969) + 6=147.016[/tex]
Maximum height of the ball is 147.016 feet
Domain is the set of 't' values for which function is defined
Time 't' cannot be negative so t is all positive real number
domain is t>=0
