Question

A rocket is shot up into the air (ft/sec) following: h(t)=45t-15t^2. What is the max height? How long did it take to reach that height? When will it the ground?

Answer 1

assuming h(t) is the height of the rocket at the time - t,

find the maximum of the h (hint : convert it to a format like h=-a(t-b)^2+c so h will be maximum when t=b) and for the second, substitute h=0 for the function.