Assessment 0908 Geometric Series

 Assessment 0908 Geometric Series Essay

п»їAssessment 09. '08 Geometric Series Activity

Materials list:

3 different tennis balls of various sizes and textures

measuring tape or yardstick

a blank wall

a step stool or seat

a family member or perhaps friend

Types of procedures:

1 . Choose a level from which all the balls will be dropped one at a time. 2 . Vertically along the blank wall, set up the testing tape and step stool or chair. 3. Possess a family member or friend stand on a step stool and drop one of the balls from the chosen level away from the testing tape. 4. Face the measuring mp3, opposite the ball's starting point from about 7 or 8 feet. As the ball declines, measure the height of the ball on several consecutive bounces. (You may want to repeat the process to ensure that your measurements are appropriate. You may choose to video every drop to make sure accuracy. )В

5. Write down thier height of each and every bounce, beginning with the height from which the ball originally droped, В in the chart listed below.

Ball one particular

Description:

Ball 2

Description:

Ball 3В

Description:

Height 1

(starting point)

Level 2

Elevation 3

Level 4

Level 5

six. Repeat the process with each ball. Be sure that each ball is usually originally fallen from the same height. six. Beginning with Elevation 1, plot the height quantity (1, 2, 3, …) on the x-axis and the corresponding height measurement on the y-axis in GeoGebra. You may do this by using the New Point icon  in the toolbar or perhaps by inputting each ordered pair in the Input pub.

Be sure that you can see each stage on the display screen. You may need to customize range of figures on the x- and y-axes, by accessing the Personal preferences buttonВ almost 8. Once the items have been plotted, draw the function which will closely connect them by using the commandВ FitExpВ followed by each ordered pair segregated by a intervalle. Finish the command with a closed bracket. An abbreviated case in point is shown below.

Continue doing this procedure for each one of the three projectiles. In the end, you will have coordinate plane with 3 different graphs. 9. Determine the functions that have been plotted on the left side with the screen in the Algebra Home window for each chart. 10. Using complete paragraphs, answer the following questions: Precisely what is the common percentage between the successive height values of ball 1? Ball 2? Ball 3? How can the size of the ball impact the height the ball bounces? What influence, if any, does the scale the ball have within the common percentage? If ball 1 had been dropped from 2 foot higher, will the common ratio be different? Make clear your solution. What is the height of each ball on the sixth bounce (i. e., Level 6)? Utilize geometric pattern formula, an = a1rn – 1 and entertain work. What is the total range of the height each ball has traveled? Use the geometric series formulation,   and captivate work.

Info:

Ball 1

Description: Plastic ball

Ball 2

Information: Baseball

Ball 3В

Explanation: Bouncy ball

Height you

(starting point)

6ftВ

6ftВ

6ftВ

Height 2

6ft

4ftВ

4ft

Height 3

4ft

2ft

3ft

Height 4

3ft

1ft

2ft

Height your five

1ft

0. 5ft

1ft

1) Precisely what is the common percentage between the effective height ideals of ball 1? Ball 2? Ball 3? Well the 1st ball being created out of rubber it can be easier to bounce therefore I realized that the percentage is the 1st bounce is normally high and it begins to drop this goes too with ball 3 the industry bouncy 1 but ball 2 is known as a baseball which is heavier and has a larger drop once released in the starting height. 2 . ) How does how big the ball affect the elevation the ball bounces? - Well because noted once I was that the first ball was method bigger in proportion compared to the different two. The height of the ball, which means the ball is made up of more surroundings and is capable of bounce larger this manufactured the height of the ball a vital reason to the reason behind the balls high, bounces. 3. ) What affect, if any, will the size of the ball include on the prevalent ratio? - The size of the ball like the weight and the texture effects the...


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