Question 853989
h = -4.9t^2 + 19.6t - 9.6
max height occurs on the axis of symmetry, the equation for that is: x = -b/2a
In this problem
x = t
a = -4.9
b = 19.6
:
t = {{{(-19.6)/(2*-4.9)}}}
t = + 2 sec when max height occurs
:
Find max height, replace t with 2 and find h
h = -4.9(2^2) + 19.6(2) - 9.6
h = -19.6 + 39.2 - 9.6
h = 10 meters is max height