math

Suppose that a ball originally fell from a height of 2.0m and on each bounce the ball rises to 70% of the height from which it fell. Express the height reached, h , as a function of the number of bounces, n.

1. 👍
2. 👎
3. 👁
1. after bounce 1: height = .7(2)
after bounce 2: height = .7 (.7)(2) = 2 (.7)^2
after bounce 3: height = 2 (.7)^3
...
after bounce n: height = .....

1. 👍
2. 👎
2. How to formalize it into a equation using h as height, n as bounces

1. 👍
2. 👎
3. geeessh, what did I use for "height", what did I use for the number of bounces?

1. 👍
2. 👎
4. h=2(0.70)^n

1. 👍
2. 👎
5. correct

1. 👍
2. 👎

Similar Questions

1. math

A bouncy ball is dropped such that the height of its first bounce is 2.5 feet and each successive bounce is 76% of the previous bounce's height. What would be the height of the 6th bounce of the ball? Round to the nearest tenth

2. Geometric Series question? Help!?

A bouncy ball bounces to 2/3 of its height when dropped on a hard surface. Suppose the ball is dropped from 20 m. What is the height of the ball after the 6th bounce? Answer = 1280/729 m OR 1.75 m What is the total distance

3. alg2

suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce. round to the nearest tenth.. my teacher told

4. Algebra 2

A ball is dropped from a height of 25 feet and allowed to continue to bounce until it eventually comes to a rest. Each time the ball bounces it rebounds to 45 of its previous height. After which bounce is the ball's rebound height

1. Calculus

A ball is dropped from a height of 10 feet and bounces. Each bounce is ¨ú of the height of the bounce before. Thus, after the ball hits the floor for the first time, the ball rises to a height of 10(¨ú ) = 7.5 feet, and after

2. algebra

A ball is dropped from a height of 12 feet and returns to a height that is half the height from which it fell. the ball continues to bounce half the height of its previous bounce each time. How far will the ball have traveled

3. physics

the coefficient of restitution between the ball and the floor is 0.60 If the ball is drop from rest at the height of 6.6 m from the floor. Find a) what is the maximum height will the ball attain after the first bounce. b) how much

4. math

a ball is dropped from a height of 3m and bounces on the ground . At the top of each bounce, the ball eaches 60% of its previous height. Calculate the total distance travelled by the ball when it hits the ground for the fifth time

1. physics

You drop a ball from a height of 2.0 m and it bounces back to a height of 1.5 m (a) What fraction of its initial energy is lost during the bounce? (b) What is the ball’s speed just at it leaves the ground after the bounce?

2. math

A superball is dropped from a height of 2 m and bounces 90% of its original height on each bounce. (a) When it hits the ground for the eighth time, how far has it traveled? (b) How high off the floor is the ball on the eighth

3. 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

4. algebra

A bouncy ball is dropped such that the height of its first bounce is 4 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 11th bounce of the ball? Round to the nearest tenth (if