Problema Solution
Simon launches a t-shirt from a cannon straight up with the initial velocity of 96 feet per second. The height of the t-shirt is represented by h(t)= -16t^2+96t+6, where h(t) is the height in feet and t is the time in seconds after Simon launches the T-shirts.
What is the maximum height of t-shirts?
Answer provided by our tutors
h(t)= -16t^2+96t+6
to find the maximum height of t-shirt we need to find the maximum of the parabolic function h(t)= -16t^2+96t+6
a = -16, b = 96, c = 6
h max = c - (b^2)/(4a)
h max = 6 - (96^2)/(4*(-16)
h max = 150 ft
the maximum height of t-shirt is 150 ft.