Geometric Series and Ball Bounces

Geometric Series and Ball Bounces

Assessment

Interactive Video

Mathematics, Physics, Science

6th - 10th Grade

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explains the problem of a ball dropped from a height of 10 meters, which bounces to half the height of the previous bounce. The goal is to calculate the total vertical distance traveled by the ball. The tutorial breaks down the problem into understanding the bounce heights, calculating the total vertical distance, and recognizing the pattern as a geometric series. The final calculation shows that the total vertical distance traveled by the ball is 30 meters.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial height from which the ball is dropped?

10 meters

5 meters

15 meters

20 meters

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After the first bounce, what height does the ball reach?

2.5 meters

10 meters

5 meters

7.5 meters

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total vertical distance the ball travels after the first bounce?

25 meters

10 meters

20 meters

15 meters

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to describe the pattern of the ball's bounces?

Arithmetic series

Geometric series

Fibonacci sequence

Exponential growth

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the geometric series related to the ball's bounces?

It describes the speed of the ball.

It describes the decreasing bounce heights.

It describes the time between bounces.

It describes the horizontal distance traveled.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio in the geometric series of the ball's bounces?

1/4

2/3

1/3

1/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the initial height of 10 meters be expressed in the series?

As 10 times 1/2 to the 3 power

As 10 times 1/2 to the 2 power

As 10 times 1/2 to the 1 power

As 10 times 1/2 to the 0 power

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