### Home > INT2 > Chapter 9 > Lesson 9.3.1 > Problem 9-78

The table at right shows the height of an acrobat as she practices a trick on a trampoline. She reaches a maximum height of

What is the average velocity of the acrobat between

seconds and seconds? Include units with your answer. Divide the difference of the heights by the difference of the times.

ft/s What is the average velocity of the acrobat between

seconds and second? Use the same techniques as in part (a).

What appears to happen to the velocity of the acrobat as she approaches the top of her jump? Does this make sense? Explain.

Her velocity decreases near the top of her jump. Think of the time components as

and the height components as. Notice that the slope of this parabola is flatter near the vertex and steeper the further away you get from the vertex.

Time (s) | Height (ft) |
---|---|