Question 1: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?

(i) If you answer "yes" to the above question, can you come up with a rule or method to find the required functions?

(ii) If you answer "no" to either of these questions, what additional information might you need so that you can answer "yes" to the questions.

(iii) Support your comments with example functions.

Question 2: 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?

(i) If you answer "yes" to the above question, can you come up with a rule or method to find the required functions?

(ii) If you answer "no" to either of these questions, what additional information might you need so that you can answer "yes" to the questions.

(iii) Support your comments with example functions.