A particle moves along the x-axis according to the equation below for seven seconds.

1. Write a set of parametric equations with an appropriate graph style that will display the path of the particle in a way that the turning points are clearly visible.
2. Write a second set of parametric equations and set the Graph style to display the path of the particle after the graph is created so that the turning points are clearly visible. Display the graph.
3. What is the particle's position when it is furthest to the left?
4. When is the particle moving right?
5. When is the particle moving left?
6. When is the particle momentarily at rest?

A baseball is hit at an angle of 30° above the horizon with an initial velocity of 138 ft/sec and an initial height of 3.5 feet off the ground.

7. Write a set of parametric equations to model the trajectory of the ball.
8. Approximately when will the ball hit the ground? Approximately how far away from home plate will it land?
9. What is the ball's maximum height? Use a derivative to find the answer.

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