# math

cory drops a bouncing ball form a height of 50 ft and it rebounds to 90% of its previous height.find the total distance the ball will have travelled when it hits the ground for the fifth time

1. 👍 0
2. 👎 0
3. 👁 76
1. 50 + .9 * 2 * 50 + .9^2*2*50 +.9^3*2*50 +.9^4 *2 * 50

= -50 +100 + 100 (.9^1 +.9^2 + .9^3 + .9^4)

-50 + geometric series g=100 n = 5, r = .9 in

Sum5 = 100(1-.9^4)/(1-.9)
= 100 (.3439)/.1 = 344
-50 + 344 = 294

1. 👍 0
2. 👎 0
posted by Damon
2. An apple farmer went to town to sell a truck full of apples. At his first stop, he sold 1/3 of his apples. On the way to the next stop, he wrecked his truck and lost 1/3 of the remaining apples. Of those left, the farmer gave away 1/2 to some children. He then has 80 apples left. How many apples did the farmer have when he started his trip?

1. 👍 0
2. 👎 0
posted by Laura

## Similar Questions

1. ### math

A tennis ball is dropped from a height of 7 ft. If the ball rebounds 2/3 of its height on each bounce, how far will the ball travel before coming to rest? (Find the total distance that the ball will travel before it stops

asked by gisela on September 29, 2014
2. ### Math

a ball rebounds 1/2 of the height from which it is dropped. The ball is dropped from a height of 136 feet and keeps on bouncing. How far will it traveled when it strikes the ground the third time?

asked by Karen on August 29, 2010
3. ### math

a ball rebounds one half of the height from which it was dropped. The ball is dropped from a height of 160 feet and keeps bouncing. what is the total vertical distance the ball will travel from the moment it is droppedto the

asked by laly on July 9, 2009
4. ### Math

a bouncy ball rebounds to 90% of the height of the preceding bounce. jason drops a bouncy ball from initial height of 25 feet (a) write out the sequence of the height of the first 4 bounces. (b) derive an explicit formula for the

asked by Linn on August 7, 2017
5. ### Math

A ball rebounds 1/2 of the height from which it is dropped. It is dropped 56m from the building and it kept bouncing. How far would the ball have travelled up and down when it strikes the ground for the 6th time?

asked by Aubrie on July 19, 2016
6. ### Maths

A ball is dropped from a height of 80ft.The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for the height the ball

asked by Rainie on July 10, 2015
7. ### Maths

A ball is dropped from a height of 80ft.The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for the height the ball

asked by Lynn on July 7, 2015
8. ### Tennessee Technological university

Math if a rubber ball drops from a height of 28 meters, and on each bounce it rebounds up 30% of its previous height, how far will it traveled at the moment it hits the ground for the 16th time

asked by Brytanie on November 30, 2015
9. ### Math

A ball rebounds the ground to a height of 72 cm, and each time it rebounds to two thirds of the height. Estimate the total distance the ball travels before it comes to rest

asked by Brian on November 22, 2014
10. ### Physics

A ball is dropped from a height of 1.45m and rebounds to a height of 1.21m. Approximately how many rebounds will the ball make before losing 92% of its energy?

asked by john on March 3, 2014

More Similar Questions