SOLUTION: Nicks height above the water t seconds after diving from a diving board into a pool can be modeled by f(t) = -4.9t2 + 4.9t + 5. What is Nicks maximum height above the water?
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Question 1126657: Nicks height above the water t seconds after diving from a diving board into a pool can be modeled by f(t) = -4.9t2 + 4.9t + 5. What is Nicks maximum height above the water? Answer by ikleyn(52767) (Show Source):
For a quadratic function f(t) = at^2 + bt + c with the negative leading coefficient a < 0, the maximal value is achieved at t = .
In your case, the maximum is achieved at t = = 0.5 seconds.
The maximum value of the function (which is the maximal height under the question) is
= -4.9*0.5^2 + 4.9*0.5 + 5 = 6.225 meters.
Since I am very smart, I was able to restore the unit of length as meters, even though the problem did not state it explicitly.
