Identify the height for the function: f (t) = 5sec (3t - π) + 1

(t) = 0 gives

-24t + 60 = 0

t = 2.5

For this t, the second derivative s" (t) = - 24 is negative. And so, s (t) is maximum for t = 2.5.

Maximum height is S = - 12 (2.5) ^2 + 60 (2.5) + 8 = 233ft