1. Lesson 5

1.9. Connect

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Connect

 

Lesson 5 Assignment


assignment

Open your copy of the Lesson 5 Assignment, which you saved in your course folder at the start of this lesson. Complete the assignment.


course folder Save your work in your course folder.

 

Did You Know?

This is an image of a rollercoaster reflected in a boy’s sunglasses.

liquidlibrary/Thinkstock

 

The Cannon Coaster at Coney Island was an early twentieth-century rollercoaster designed to leap across a gap in the tracks. Unfortunately, the ride failed initial safety tests because factors, such as uneven weight distribution and prevailing wind conditions, would often cause crashes. As a result, the gap was closed and the ride lost a measure of its thrill. Despite this, many people lined up to experience the ride due to false rumours that lives were lost in the ride’s construction.


 

Project Connection


assignment

This is a play button that opens Module 4 Project: Imagineering.

© wong yu liang/29976438/Fotolia

Go to Module 4 Project: Imagineering. Complete Step 3: Design and Construction.

course folder Save your work in your course folder.

 

Going Beyond


formula
This shows an illustration of the path of two identical objects. As one rolls off of a table, the other one is released at the same time from the same height as the table surface.

The experiment demonstrated in Gravity Experiment (“Newton's Laws: Summary”) is a classic physics problem that shows that the horizontal component of an object’s motion is independent of its vertical component. You don’t have to take this explanation at face value though. Try this experiment to see if it is true. You will need to work with a partner.

 

Problem

 

If two objects fall from the same height, will the objects hit the ground at the same time even if one object possesses a horizontal velocity?

 

Materials

  • two small objects of similar size and weight (e.g., tennis balls, toy cars, whiteboard brushes)
  • a flat elevated surface that is at least 1 m in length (e.g., table top, whiteboard ledge)

Procedure

 

For the purpose of this procedure, assume that the objects are tennis balls and that the flat surface is a kitchen table.

 

Step 1: Hold Ball A at the level of the flat surface in preparation to drop the ball to the floor.

 

Step 2: Have your partner position himself or herself at the other end of the table with Ball B.

 

Step 3: Your partner rolls the ball towards the edge of the table with enough force that it will fall off the table.

 

Step 4: At the moment Ball B rolls off the edge of the table, drop Ball A.

 

Step 5: Observe how the balls land—Ball A first, Ball B first, or both balls at the same time.

 

Step 6: Repeat steps 1 to 5, but have your partner roll Ball B at different speeds.

 

Analysis

  1. How did the balls land?

  2. How did changing the speed of the rolling ball affect the results?

  3. What conditions are necessary in order for the results of this experiment to be repeated?

  4. What implications do the results have for calculating how long it takes an object to land?

course folder You may want to save your answers in your course folder.

 

If you plan to study physics, this might be a problem that you will encounter again.