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

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 s(t) 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