### Home > PC3 > Chapter 13 > Lesson 13.3.5 > Problem 13-152

13-152.

Sketch the velocity function given by for

Write an expression for the position from

to any value of.The position function is the area under the curve of the velocity function.

In this case, the area under the velocity curve is a triangle.area under

Given the position expression from part (a), write an expression for the slope of the tangent line at any point

.How is the expression in part (b) related to

?