Lesson 4 Investigation 1-What Goes up . . . Must Come Down

Course 1 Unit 2

Lesson 4 Investigation 1-What Goes Up . . . Must Come Down

Name: ______

Date: ______Pd: ______

Page 142

1 a. Use your graphing calculator to make the table as described in your book. Use your table to answer the following questions:

Time / Velocity

• What is the upward velocity of the ball 0.5 second after it is thrown? ______

• At what time will the velocity be about 10 meters per second? ______

• About 5 meters per second? ______

• What does the ordered pair (3, - 4.4) mean in terms of the given problem situation?

• Describe the pattern of change in the velocity of the ball from 0 seconds to 6.0 seconds. In your description, include the direction the ball is moving during different time intervals. Approximately when is the ball stopped? Is this is an increasing or decreasing relationship?

1. Produce the graph on your graphing calculator. State your view window here:

• Xmin: ______Xmax: ______

• Ymin: ______Ymax: ______

• What does the x-axis represent? ______

• What does the y-axis represent? ______

1. Write an explanation of what the table and graph say about the pattern of the ball’s velocity. Be sure to explain any points or trends in the graph that are surprising or important.

1. Think about the equation and how it relates to the flight of the ball. Answer the two questions below:

• What does the 25 represent in terms of the problem situation involving the ball?

• What effect does the “-9.8T” have in terms of the velocity of the ball and how does this show up on the graph of the line?

1. Use your graphing calculator to solve these equations. That is, find values for T and V that will make the statements true. Be sure to include an explanation as to what the solution tells you about the flight of the ball. Find times to the nearest 0.1 second

1. 10 = 25 – 9.8T ______Explanation:

1. 0 = 25 – 9.8T ______Explanation:

1. V = 25 – (9.8 x 2) V = ______Explanation:

1. -5 = 25 – 9.8T ______ Explanation:

1. Use your graphing calculator to make the table and graph for .

Time / Height

• In your graph, what does the x-axis represent? ______

• What does the y-axis represent? ______

a. Height of the ball after 3 seconds: ______After 5 seconds: ______

1. Time or times when the ball is 20 meters above the ground: ______

1. Maximum height of the ball: ______

• Time when the ball reaches maximum height: ______

1. Time when the ball hits the ground: ______

1. The velocity of the ball the moment before it hits the ground: ______

5. Use your graphing calculator to display the graphs of (time, velocity) and

(time, height) in the same view window. Look at both graphs using a window where

x ranges from 0 to 7 and y ranges from –40 to 35. Think about how these two graphs

are related.

1. What does the shape of the graph relating time and height tell about the velocity of the ball during its flight?

1. How is the shape of the graph relating time and height illustrated by the trend of numbers in the data tables for (time, height) and (time, velocity)?

1. Compare the shape of your graph relating time and height with the choice you made in answering Part c of the “Think About This Situation” on page 141.

Checkpoint:

As you worked on questions about the baseball’s flight, how did you use your calculator to find:

1. the maximum height and the time it took the ball to reach that height?

1. The time the ball returned to the ground and the speed it was traveling when it hit?

Course 1 Unit 2 Lesson 4 Investigation 1Page 1 of 6