SOLUTION: During a halftime show, a baton twirler releases her baton from a point 4 feet above the ground with an initial vertical velocity of 25 feet per second. Use a vertical motion mode

Question 174451This question is from textbook Algebra 2, Texas Edition
: During a halftime show, a baton twirler releases her baton from a point 4 feet above the ground with an initial vertical velocity of 25 feet per second. Use a vertical motion model to write a function for the height h (in feet) of the baton after t seconds then graph the function and label the vertex.
Please show all work possible and any strategies used in depth. Thank You for your time and help! =) Hope to hear from you soon. This question is from textbook Algebra 2, Texas Edition

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
During a halftime show, a baton twirler releases her baton from a point 4 feet
above the ground with an initial vertical velocity of 25 feet per second.
Use a vertical motion model to write a function for the height h (in feet)
of the baton after t seconds then graph the function and label the vertex.
:
Write an equation for this using the three elements involved here
t = time in seconds
Gravity: -16t^2, negative because it's pulling downward
Velocity upward: +25t
Initial height: 4 ft
;
h(t) = -16t^2 + 25t + 4
:
Vertex occurs at the axis of symmetry,formula for this: x =
find the time of the highest point a=-16; b=25:
t =
t =
t = +.78125 sec
:
Substitute for t in the equation to find h(t)
h(t) = -16(.78125^2) + 25(.78125) + 4
h(t) = -16(.61035) + 19.53125 + 4
h(t) = -9.7656 + 23.53125
h(t) = 13.76565 ft
:
A graph of this:

:
Did this make sense to you? Any questions?
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