Answer
See image.
Work Step by Step
a) The shape of the graph doesn't matter, as long as it remains a function (each value of t has 1 value of f(t)). The final point on the graph, however, must be (60, 400) as the problem states that the plane travels 400 miles in 1 hour/60 minutes.
b) The shape of the graph is as shown because a typical plane takes 15 minutes to reach cruising altitude. Once this point is reached, the altitude fluctuates until around 45 minutes, where the altitude falls down to 0 at 60 minutes.
c) The Ground Speed (or the speed perpendicular to the ground) increases for the first 15 minutes, as the airplane has yet to reach cruising altitude. Once reached, the plane can use more power horizontally, allowing for a fluctuating but relatively constant speed. At 45 minutes, the ground speed begins to decrease until the plane lands.
d) The shape of the Vertical Velocity graph is as such because the plane needs to reach its cruising altitude quickly. But once it is reached, the plane's' altitude isn't changing much, so the velocity stays around 0 mi/hr. Once the plane begins to descend, the velocity becomes negative as the plane travels downward.
