Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet (Page 7 of 8) in pdf

Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 7

Unit Five (Part 1)

AP Calculus Take-Home Packet

Optimization

LET’S GO OUT TO THE BALL GAME

What was the longest home run in major league baseball??

In 1919, Babe Ruth his what some experts called the longest home run ever recorded in major

league baseball. In an exhibition game between the Boston Red Sox and the New York Giants, he sent the

 

0.0017

ball into a parabolic orbit. The trajectory of the bell is given by the equation

, where x

represents the horizontal distance in feet and y the vertical distance in feet of the ball from home plate.

What was the greatest height reached by the ball? _________________________

How far from home plate did the ball land? _____________________________

Solution #1:



Enter the equation in Y1.



Decide on an appropriate window.



Use the Zoom feature to zero in on the maximum values.



Use the Math menu to get an accurate value to answer the questions above.

Solution #2 (Show your work for this one):

Use calculus and algebra to solve the problem.

Page 7 of 8

Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 7