A colleague has created the following mathematical model describing the position of a boat as a function of time:

X(t) = 2.5 – 2t + 0.8t ²

a. As carefully as you can, draw a velocity vs. time graph that would correspond to the motion. (Do it by identifying and interpreting the parameters in the model equation, not by plotting points.

b. How fast is the boat going 5 seconds after the clock starts?

c. What is the boats acceleration 5 seconds after the clock starts?