Question

The height y, in feet, over time, x, in seconds, of a rocket launched by Euler is given by the equation: f(x)=-16x²+64x

a) How high does the rocket fly?
b) How long is the rocket's flight (total air time)?
When you answer the question please include support for your answers: algebraic, graphic or tabular.

Answer 1

a) 64 ft

b) 4 seconds

Explanation:

You want the height and flight time of a rocket whose height as a function of time is described by f(x)=-16x²+64x.

a) Height

The graph produced by a graphing calculator shows the maximum height of the rocket is 64 feet.

b) Air time

The same graph shows the height becomes zero after 4 seconds of flight time.