SOLUTION: A plastic hoop is thrown upward from the top of a 240-foot high building at a speed of 136 feet per second. The plastic hoop's height above ground can be modeled by the equation Hb
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Question 1138998: A plastic hoop is thrown upward from the top of a 240-foot high building at a speed of 136 feet per second. The plastic hoop's height above ground can be modeled by the equation Hbracket(t)=-16t^2+136t+240.
What is the maximum height of the plastic hoop? feet Answer by ikleyn(52914) (Show Source):
It is about the maximum value of a quadratic function.
The quadratic function f(x) = ax^2 + bx + c of the general form with the negative leading coefficient a < 0
has the maximum value at x = .
In this case, the maximum height is achieved at t = = 4.25 seconds.
The maximum height is equal to the value of the given function h(t) at t= 4.25 :
= = 529 ft. ANSWER