SOLUTION: Nick tossed a penny off a 20 foot bridge. The path of the penny’s height can be modeled by the equation h(t) = -16t^2 + 40t + 20. Find the maximum height of the penny.

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Question 1116114: Nick tossed a penny off a 20 foot bridge. The path of the penny’s height can be modeled by the equation h(t) = -16t^2 + 40t + 20. Find the maximum height of the penny.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Nick tossed a penny off a 20 foot bridge.
The path of the penny’s height can be modeled by the equation h(t) = -16t^2 + 40t + 20.
Find the maximum height of the penny.
:
Find the axis of symmetry, x = -b/(2a); a=-16, b=40
t = %28-40%29%2F%282%2A-16%29
t = %28-40%29%2F%28-32%29
t = 1.25 min to max height
:
h(t) = -16(1.25^2) + 40(1.25) + 20
h(t) = -16(1.5625) + 50 + 20
h(t) = -25 + 50 + 20
h(t) = 45 ft, max height