Question

61. Suppose a ping-pong ball is dropped from a height of 16 feet, rebounds 4 feet high for the first time, and then rebounds $\frac{1}{4}$ of the distance fallen for each time after that. How high would the ball rebound the 6$^{th}$ time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?

Name: 61. Suppose a ping-pong ball is dropped from a height of 16 feet, rebounds 4 feet high for the first time, and then rebounds (1)/(4) of the distance fallen for each time after that. How high would the ball rebound the 6^th time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?
Uploaded: 2020-07-15T07:30:55-08:00
Duration: 3 min 32 s
Channel: Ankit Gupta
Description: 61. Suppose a ping-pong ball is dropped from a height of 16 feet, rebounds 4 feet high for the first time, and then rebounds (1)/(4) of the distance fallen for each time after that. How high would the ball rebound the 6^th time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?

          61. Suppose a ping-pong ball is dropped from a height of 16 feet, rebounds 4 feet high for the first time, and then rebounds $\frac{1}{4}$ of the distance fallen for each time after that. How high would the ball rebound the 6$^{th}$ time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?

61. Suppose a ping-pong ball is dropped from a height of 16 feet, rebounds 4 feet high for the first time, and then rebounds (1)/(4) of the distance fallen for each time after that. How high would the ball rebound the 6^th time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?

Added by Curtis M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/15/2020

Step 1

- Initial height: 16 feet - First rebound height: 4 feet - After the first rebound, each subsequent rebound is 1/4 of the distance fallen Show more…

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61.Suppose a ping-pong ball is dropped from a height of 16 feet,rebounds 4 feet high for the first time,and then rebounds -of the distance fallen for each time after that. How high would the ball rebound the 6th time? What is the total sum of the rebound heights of the ball if it were to rebound infinitely?