SOLUTION: A golf ball is hit into the air, and its height h in feet after t seconds is given by h(t) = -16t to the second power + 128t. a) what is the height of the golf ball when it is hi

Question 626294: A golf ball is hit into the air, and its height h in feet after t seconds is given by h(t) = -16t to the second power + 128t.
a) what is the height of the golf ball when it is hit?
b) After how many seconds does the golf ball reach its maximum height?
c) Determine the maximum height of the golf ball?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A golf ball is hit into the air, and its height h in feet after t seconds is given by h(t) = -16t^2 + 128t.
:
a) what is the height of the golf ball when it is hit?
When the ball is hit, time, t = 0
h(t) = -16(0^2) + 128(0)
h(t) = 0 ft high when t=0
:
b) After how many seconds does the golf ball reach its maximum height?
Max height occurs at the axis of symmetry
Find the axis of symmetry of h = -16t^2+128t using the formula x = -b/(2a)
a=-16, b=128
t =
t =
t = 4 seconds to reach max height
:
c) Determine the maximum height of the golf ball?
Replace t with 4, find h(t)
h(t) = -16(4^2) + 128(4)
h(t) = -16*16 + 512
h(t) = -256 + 512
h(t) = 256 ft is the max height
:
Graphically, time on the x axis, height on the y axis

RELATED QUESTIONS
The height, h, in feet of a golf ball above the ground after being hit into the air is... (answered by Alan3354)

The height h in feet of a golf ball after t seconds is given by h=48t-16t^2. How long did (answered by mananth)

1. A ball is hit upward. Its height h in feet after t seconds is given by h=-16t^2 +... (answered by solver91311)

A ball thrown vertically into the air has its height above ground given by h=-16t^2+112t, (answered by nerdybill)

HELP!!! tonisha hit a ball into the air with an initial velocity of 48 feet per... (answered by bucky)

Jack hit a golf ball from the ground and its movement follows the equation... (answered by Boreal,josmiceli)

Height of a Baseball The height h in feet of a baseball t seconds after being hit by a (answered by josgarithmetic)

the height h in feet of a ball t seconds after being tossed upwards is given by the... (answered by josmiceli)

Suppose a ball thrown into the air has its height (in feet) given by the function h(t) (answered by solver91311)