Math 20 1 Geometric Series Distance Traveled Youtube Determining the total distance of a bouncing ball. Learn how to calculate the distance a ball travels when dropped from a building using geometric series in this free math video tutorial by mario's math tutor.
A Ball Bounces 8 Times Find Distance Travelled Geometric Series Youtubeођ This lesson explains the good old bouncing ball problem. it explains how to use geometric series to find the total distance of the bouncing ball. A ball dropped on the surface takes a sequence of vertical bounces with each bounce the ball loses 15ft its preceding height. the ball is dropped from 25 feet. find the total distance travelled when the ball hits the ground for the 5th time. 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 back up. series 1 5 3.25 2.1125 ⋯ series 2 3.25 2.1125 1.373125 ⋯ find the sum of each series. A well known problem one may encounter is the bouncing ball problem. a ball is dropped to the ground from a height of h0. based on its elasticity, it bounces back to a height of r times the height it was dropped from, where 0 < r < 1. this produces the well known geometric series with each bounce. problems: (1) find the total distance traveled.
Precalculus Geometric Series Bouncing Ball Distance Traveled Series 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 back up. series 1 5 3.25 2.1125 ⋯ series 2 3.25 2.1125 1.373125 ⋯ find the sum of each series. A well known problem one may encounter is the bouncing ball problem. a ball is dropped to the ground from a height of h0. based on its elasticity, it bounces back to a height of r times the height it was dropped from, where 0 < r < 1. this produces the well known geometric series with each bounce. problems: (1) find the total distance traveled. 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. Discussion starter. oct 22, 2009. #1. a ball is dropped from a height of 10 m. each time it strikes the ground it bounces vertically to a height that is 3 4 of the preceding height. find the total distance the ball will travel if it is assumed to bounce infinitely often. answer: 70 m.
Math 20 1 Ch 1 4 Geometric Series 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. Discussion starter. oct 22, 2009. #1. a ball is dropped from a height of 10 m. each time it strikes the ground it bounces vertically to a height that is 3 4 of the preceding height. find the total distance the ball will travel if it is assumed to bounce infinitely often. answer: 70 m.
Math 20 1 Lesson 4 7 Geometric Sequences And Series Youtube
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