Infinite Geometric Series An Application Bouncing Ball Youtube Related link: infinite geometric series: youtu.be rj znsyzrzm. This video shows the solution to a classic problem involving an infinite geometric series.
Infinite Geometric Series Bouncing Ball Youtube In this video we use a geometric sequence to determine how high a ball is bouncing and an infinite geometric series to determine the total vertical distance. So, an infinite sequence that can be used to represent this situation is 5, 3.25, 3.25, 2.1125, 2.1125, … . the corresponding series can be written as the sum of the two infinite geometric series: one series that represents the distance the ball travels when falling and one series that represents the distance the ball travels when bouncing. If you're seeing this message, it means we're having trouble loading external resources on our website. if you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. If you're seeing this message, it means we're having trouble loading external resources on our website.
How To Solve Bouncing Ball Problem Using Infinite Geometric Series If you're seeing this message, it means we're having trouble loading external resources on our website. if you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. If you're seeing this message, it means we're having trouble loading external resources on our website. Here is a method which avoids summing a geometric progression (at least it hides a method for computing the sum). call the height of the table h = 4a h = 4 a and the total distance travelled d d. to the top of the first bounce the ball travels down 4a 4 a and back up 3a 3 a. the remainder of the track of the ball is exactly as if it had fallen. Remember that the idea of an infinite sum was introduced in the context of a realistic situation, albeit a paradoxical one. we can in fact use infinite geometric series to model other realistic situations. here we will look at another example: the total vertical distance traveled by a bouncing ball. example 3. a ball is dropped from a height of.
Infinite Geometric Series Word Problem Bouncing Ball Youtube Here is a method which avoids summing a geometric progression (at least it hides a method for computing the sum). call the height of the table h = 4a h = 4 a and the total distance travelled d d. to the top of the first bounce the ball travels down 4a 4 a and back up 3a 3 a. the remainder of the track of the ball is exactly as if it had fallen. Remember that the idea of an infinite sum was introduced in the context of a realistic situation, albeit a paradoxical one. we can in fact use infinite geometric series to model other realistic situations. here we will look at another example: the total vertical distance traveled by a bouncing ball. example 3. a ball is dropped from a height of.
Geometric Sequence Application Bouncing Ball Youtube
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