A baseball is hit three feet above the ground.If the initial velocity is 100 miles per hour and the ball leaves the bat at an angle of 20 degrees above horizontal, determine the parametric set of equations that model position. Use the general equations given below to arrive at the model for the path of the baseball.

After obtaining the model, answer questions #1 - #5 below by the two methods of:

a)graphing the path with your calculator and tracing to get approximations, and

b)verifying estimates with a symbolic/algebraic method.

Include your symbolic work on a separate sheet of paper.

where

1.Find the height of the ball after 1 second.

2.How high will the ball go?

3.When will the ball reach its highest point?

4.Will the ball clear the left-field fence that is 10 feet high and 385 feet from home plate? Verify.

5.How far from home plate will the ball travel?

6.Draw a complete sketch of the path of the ball (Include labels and scales on both axes)