Problema Solution

An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The equation for the object's height s at time t seconds after launch is s(t)+-16t^2 + 64t+80. What is the maximum Height of the object? What is the domain and range?

Answer provided by our tutors

s(t)+-16t^2 + 64t+80

the maximum Height of the object

s'(t) = -32t+64

for maxima

s'(t)=0

-32t=-64

t=2

s(2)=-16*4+128+80