Problema Solution
The height in feet, h, of a model rocket t seconds after launch is given by equation h(t) = 3 + 70t - 16t^2. 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?
Answer provided by our tutors
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.