### Home > CALC > Chapter 5 > Lesson 5.2.3 > Problem 5-81

5-81.

If the height (in meters) of an object traveling vertically is represented by the function where

*is measured in seconds, find its:*

Starting velocity

Evaluate

when.

Starting position

Evaluate

when.

Maximum height

Since the height function is a parabola, the maximum height can be determined by using Algebra to locate the vertex. Calculus can also be used.

The maximum height will occur at the time when

.The vertex of the parabola is located at

seconds.m