Answer:
36 feet,
max height = 69.8 feet
Step-by-step explanation:
s(t)= -5t²+36t+5
at 1 second, t = 1 (substitute this into the equation)
s(1) = -5(1)²+36(1)+5
= -5 + 36 + 5
= 36 feet
recall that for a quadratic equation in the form y = ax²+bx + c, the maximum / minimum is given by x=-b/(2a)
in our case, b = 36 and a = -5
Note: since the coefficient of x² is a negative number, we can confirm that the curve will have a maximum value (note that if negative, then it will have a minimum)
hence maximum will occur at t = -b/(2a)
= - (36) / (2)(-5)
= -36 / -10
= 3.6 s (substitute this into the equation)
s(3.6)= -5(3.6)²+36(3.6)+5
= 69.8 feet
