A problem asked this:
The rocket club wants to model rockets straight up into the air. The height of rocket A can being modeled by the function $y=-16x^2+88x$. The function that models the height of rocket B is shown below. Compare the functions by finding and interpreting maximums, X – intercepts, and average rates of change over the x–interval $[0,2]$.
How do I find the average rates of change?
$\endgroup$ 31 Answer
$\begingroup$In general, average velocity is change in position divided by change in time:
$$velocity = \frac{position_2 - position_1}{time_2-time_1}.$$
Now, for the problem at hand:
At time $x=0$ the rocket is at height $y = -16(0)^2+88(0) = 0$.
At time $x=2$ the rocket is at height $y = -16(2)^2 + 88(2) = 112$.
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Try to take it from here and let me know if you run into any trouble.
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