C.
This model shows that he is making 9.50 an hour, which you can tell by the fact that it is going up by that much each hour. Also, when you subtract the one hour, you get his base of 50.
Answer:
I think the answer was 33%.
Step-by-step explanation:
Let
denote the rocket's position, velocity, and acceleration vectors at time
.
We're given its initial position

and velocity

Immediately after launch, the rocket is subject to gravity, so its acceleration is

where
.
a. We can obtain the velocity and position vectors by respectively integrating the acceleration and velocity functions. By the fundamental theorem of calculus,


(the integral of 0 is a constant, but it ultimately doesn't matter in this case)

and



b. The rocket stays in the air for as long as it takes until
, where
is the
-component of the position vector.

The range of the rocket is the distance between the rocket's final position and the origin (0, 0, 0):

c. The rocket reaches its maximum height when its vertical velocity (the
-component) is 0, at which point we have


9 divided by 3 = 3 3divided by 3 = 1 1 divided by 3 = 1/3 so 1/3 divided by 3=1/9