### Home > APCALC > Chapter 3 > Lesson 3.1.2 > Problem 3-32

Jasmin rolled a ball down a very steep ramp and got the distance function , where

*is measured in seconds and*

*is measured in feet. Sketch a graph of her distance function on your paper. Then, carefully approximate the speed of the ball at*

*seconds. 3-32 HW eTool (Desmos). Homework Help ✎.*

The velocity/speed at should be the same as the IROC (or slope of the tangent line) at

*.*

____________ don't forget units!

Find the slope function of by finding the IROC at

*:*

1. Evaluate when .

2. Expand and simplify the numerator.

3. Factor out an

*from the numerator.*

4. 'Cancel out' the

*from the fraction.*

can also be found with Power Rule:

*_____________*

Use the eTool below to help solve the problem.

Click on the link to the right to view the full version of the eTool. Calc 3-32 HW eTool