A common example of an application of the derivative of the position function involves the parabolic arc that objects travel when projected upward. The object's position is a function of its initial position above the ground, its initial velocity, and the negative acceleration of gravity: s t = - 1 2 g t 2 + v 0 t + h 0 Where 'g' is the force of gravity (9.8 meters/sec/sec), and the values of 'v' and 'h' are the initial velocity and height of the object when it is projected.
In this example, we determine what the highest position of an object launched an at an initial velocty of 50 m/sec, from a position 10 meters above the ground.
Velocity, Acceleration, and Position.
Show sender reference
Log in to my Electric Book site.

Electric Book-Link (e-Blink) URL:

The URL listed above can be inserted into your postings or e-mails; it will point to the text or area of the graph that you have selected.
To insert the link:

  • Drag your mouse across any text in the green problem area, or
  • Drag your mouse to form a selection box on the green graph area
  • Open the e-Blink tab to display this tab.
  • Copy the text above to your clipboard
  • When editing a note to your community or editing your e-mail, select some text and press the link button.
  • Paste your link into the text box for the URL.