Question

The height in feet, h, of a model rocket t seconds after launch is given by the equation mc009-1.jpg. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket? The rocket is traveling six times as fast when t = 3 than it is when t = 1. The rocket is at a greater height when t = 3 than it is when t = 1. The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1. The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

Answer 1

Answer:

The average rate of change in h(t) between t = 1 second and t = 3 is:

(h(3) - h(1))/(3 - 1) = ((3 + 70*3 - 16*3^2) - (3 + 70*1 - 16*1^2))/2 = 6

The average rate of change in h(t) between t=1 and t=3 tells us that that average speed between these points is 6 ft/s

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