Chapter 2, Problem 54PQ

Case Study Crall and Whipple attached a fan to a cart placed on a level track and then released the cart. They made a position-versus-time graph (Fig. P2.54) and fit a curve to these data such that

$x=0.0\text{36 m}+\left(0.00\text{8}0\text{ m/s}\right)t+\left(0.\text{1}0{\text{ m/s}}^{\text{2}}\right)t^{\text{2}}$

1. a. Find and graph the velocity as a function of time.
2. b. What is the shape of the velocity-versus-time graph? What do you expect the acceleration-versus-time graph to look like? Explain.
3. c. Find and graph the acceleration as a function of time.