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 10.24 ft?

  1. 👍 1
  2. 👎 0
  3. 👁 693
  1. On the nth bounce it rises to a height of 25 * 0.45^n

    so, solve for n in

    25*.45^n = 10.24

    You sure there's no typo?
    25*.45 = 11.25
    11.25*.45 = 5.06

    1. 👍 0
    2. 👎 0
  2. Small typo it rebounds to 4/5 of its previous height

    1. 👍 0
    2. 👎 0
  3. oh. well, then change the formula and solve for n.

    1. 👍 0
    2. 👎 0
  4. 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 10.24 ft?

    Bounce 3
    Bounce 5
    Bounce 4
    Bounce 6

    1. 👍 2
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  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

    asked by Sandy on April 15, 2009
  2. 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

    asked by jailen on May 14, 2019
  3. 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

    asked by Sam on May 29, 2013
  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

    asked by Melissa on December 17, 2011
  5. Math

    A ball is dropped from a height of 16 feet. Each time the ball dropped h feet, it rebounds 0.81h feet. Find the total vertical distanced travelled by the ball.

    asked by Anonymous on May 13, 2015
  1. 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

    asked by jerson on June 9, 2008
  2. Statistics

    A golf ball is dropped from 15 different heights (in inches) and the height of the bounce is recorded (in inches.) The regression analysis gives the model y-hat = -0.4 + 0.70 (drop height) where y-hat is the predicted bounce

    asked by Jeremy on September 18, 2013
  3. Algebra

    A. A bowling ball is dropped from a height of 35 feet write a function that gives the height h (in feet) of the bowling ball after t seconds H(t)=__ B. Find the height of the bowling ball after 1 second C. How long does the

    asked by Kylet davis on March 2, 2016
  4. 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?

    asked by jen on August 19, 2010
  5. Math

    A ball is dropped vertically. It reaches a height of 1.6m on the first bounce. The height of each subsequent bounce is 80% of the previous bounce. A. Find the height the ball reaches on the 6th bounce. B. Find the sum of the first

    asked by Sam on March 19, 2015
  6. math

    A golf ball has a rebound percentage of 60%. If it is dropped from 30 feet, how high will it bounce on the 5th bounce?

    asked by sandy on February 12, 2020

You can view more similar questions or ask a new question.