Mathematics, 29.12.2020 06:30, russianspartan1

YOUR ASSIGNMENT: Ball Bounce You have chosen one ball; now you will predict how high it bounces on the 10th bounce.
In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
1.
Circle the ball you chose. (1 point)

Basketball
Tennis ball
Table-tennis ball

What do you know- The information on the basketball
What do you want to find out- How high it will bounce on its 10th bounce
What do you expect to find out- How high it bounces on its 10th.
Writing an Equation
2.
Assume that the ball rebounds the same percentage on each bounce. Using the initial drop height and the height after the first bounce, find the common ratio, r.
Note: Round r to three decimal places. Use this formula:

(3 points: 2 points for showing your work, 1 point for the answer)

r =
3.
State the general version of the recursive formula. (1 point)

4.
Find the recursive formula for the height of your ball. Remember that the 1st term, a1, is the height of the ball on the first bounce.(2 points)

5.
Fill out the following table for your ball's height after the first 3 bounces. Note: Let n = bounce number. The height on the 1st bounce, n = 1, is given. (2 points:)

Bounce
n
Height
First bounce
1
Basketball: 54 inches
Tennis ball: 58 inches
Table-tennis ball: 26 cm
Second bounce
2

Third bounce
3

6.
Write the explicit formula for the geometric sequence of the height of the ball on the nth bounce. Use the formula an = a1 • rn – 1. Remember that the 1st term, a1, is the height of the ball on the first bounce. (2 points)

Solving the Problem
7.
Using the explicit formula, find the height of the ball on the 10th bounce. (4 points: 2 points for showing your work, 2 points for the answer)

Taking Time to Reflect
8.
What are some factors that could affect the ball's bounce? Why might a ball bounce higher or lower than the regulated height? (1 point)

9.
For the sport you chose, why would it matter if a player used a ball that bounced higher than the regulation? (1 point)

Answers: 1

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:20, jake9919

The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transformation, what are the coordinates of the transformed rectangle? (0, 0), (0, –3), (–3, –3), (–3, 0) (0, 0), (0, 3), (3, 3), (3, 0) (0, 0), (0, 3), (–3, –3), (–3, 0) (0, 0), (0, 3), (–3, 3), (–3, 0)

Answers: 1

continue

Mathematics, 21.06.2019 18:00, hendersontianna05

Pat listed all the numbers that have 15 as a multiple write the numbers in pats list

Answers: 3

continue

Mathematics, 21.06.2019 21:10, basketball6076

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers: 3

continue

Mathematics, 21.06.2019 22:00, HistoryLee

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Answers: 3

continue

Do you know the correct answer?

YOUR ASSIGNMENT: Ball Bounce You have chosen one ball; now you will predict how high it bounces on...