2. A ball is thrown upwards from the top of a 200-foot building wit...

2. A ball is thrown upwards from the top of a 200-foot building with an initial velocity of 140 feet per second. The height after t seconds can be modeled by the function:
H(t) = -16x2 + 140x + 200

a.) Find the height of the ball after 3 seconds.
b.) What is the maximum height obtained by the ball?
c.) When will the ball hit the ground?


3. Given the data table below answer the questions that follow.

Year                                             1988      1990      1992    1994    1996      1998
Violent crimes by juveniles      327       424       488       527       460       370

a.) Find the best fit quadratic model for the data listed above.
b.) Find the average error for your quadratic model.
c.) Predict the number of juvenile crimes in 2002
d.) Predict the year when the number of violent juvenile crimes falls to 250.
e.) According to your model in what year did the crimes reach a maximum?
f.) According to your model what was the maximum number of violent juvenile crimes?