### Home > CALC > Chapter Ch3 > Lesson 3.1.2 > Problem 3-32

3-32.

The velocity/speed at *t* = 3 should be the same as the IROC (or slope of the tangent line) at *t* = 3.

*v*(3) = 13.8 ____________ don't forget units!

Find the slope function of *s*(*t*) by finding the IROC at *x* = 3:

1. Evaluate when *f*(*x*) = *s*(*t*) = 2.3*t*^{3}.

2. Expand and simplify the numerator.

3. Factor out an *h* from the numerator.

4. 'Cancel out' the *h* from the fraction.

*v*(3) can also be found with Power Rule:*s*(*t*) = 2.3*t*^{2}*v*(*t*) = 4.6*t**v*(3) = _____________

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