• Given an equation v(t) that represents the velocity of an object (moving in a straight line) as a function of time, can you come up with an equation s(t) that represents the object's position as a function of time?
• Given an equation a(t) that represents the acceleration (change in velocity) of an object (moving in a straight line) as a function of time, can you come up with an equation v(t) that represents the object's velocity as a function of time?

Say anything you can about these questions. Some things to consider are:

• If you answer yes to either of these questions, can you come up with a rule or method to find the required functions?
• If you answer no to either of these questions, what additional information might you need so that you can answer yes to the questions.
• Support your comments with example functions.
• Reply to others' comments. Say why you agree or disagree.
• If the questions are answered COMPLETELY by the time you get to post comments, try to add some interesting examples illustrating the methods discovered or try discussing the relationship between the physical properties of position, velocity, and acceleration and the mathematics that links them to each other.