SOLUTION: A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6
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Question 156303: A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6t. What would be the maximum height, to the nearest meter, attained by the model?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6t. What would be the maximum height, to the nearest meter, attained by the model?
:
Find the axis of symmetry of the equation to find the time of max height
t =
:
t =
t = +7 seconds
:
Substitute 7 for t in the equation to find the max height (vertex)
h = -4.9(7^2) + 68.6(7)
h = -240.1 + 480.2
h = +240.1 meters is the max height
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