SOLUTION: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres, and

Question 122464: A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in metres, and t represents time after leaving the ramp in seconds. Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A skier decides to jump a ramp. The path of the jump can be represented by the quadratic relationship h(t)=-6t^2+12t+1 where h represents the height above the ground in meters, and t represents time after leaving the ramp in seconds.
:
Algebraically determine the maximum height reached by the jumper and the time at which this maximum height occurs.
:
The maximum height will occur at the axis of symmetry which can be found using
x = -b/(2a); in this equation: a=-6; b=12
:
t =
t =
t = 1 sec
:
Find the vertex (max height); substitute 1 for t in the original equation
h(t) = -6(1^2) + 12(1) + 1
h(t) = -6 + 12 + 1
h(t) = +7 meters
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