The function f(t)= -16t^2+96t+1200 give the height of a rainbow after t seconds after it appears in the sky. a. At what time does the rainbow reach its max height? b. How high is the rainbow at its max height?

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# The function f(t)= -16t^2+96t+1200 give the height of a rainbow after t seconds after it appears in the sky. a.

The function f(t)= -16t^2+96t+1200 give the height of a rainbow after t seconds after it appears in the sky. a. At what time does the rainbow reach its max height? b. How high is the rainbow at its max height?