math

posted by .

1.A ball is dropped from a height of 2.0, to a floor. After each bounce, the ball rises to 63% of its previous height

What is the total vertical distance the ball has travelled after 5 bounces?

2.An oil produces 25000 barrels of oil durign its first month of production. suppose its production drops by 5% each month

estimate the total production before the well runs dry

  • math -

    1. This depends upon whether you add vertical distance going up and going down. I will assume that is what they mean. It also depends upon whether you stop counting at the end of the fifth bounce.

    2.00 m going down the first time
    2*2.00*0.63 = 2.52 m going up and down on the first bounce
    2*2.00*0.63^2 = 1.59 m going up and down on the second bounce.
    etc. You can finish these and add them up yourself

    2. 25000*(1 + .95 + .95^2 + .95^3 + ...)

    If you don't want to add up a lot of terms, you can use the rule that the sum of this infinite series is
    25000*/(1-.95) = ?

  • math -

    thanks

    for #1 how did you get 2x2x.63?

  • math -

    Up and down means doubling the distance.
    2 x 0.63 m is how far it rises after the first bounce

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    a ball is dropped from a height of 5m. after each bounce, the ball rises to 45% of its previous height. what the total vertical distance that the ball has travelled after it has hit the ground for for the 6th time?
  2. 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 it …
  3. science

    Science Experiment Determine a mathematical modelwhich describes the height of a ball in terms of th number of bounces after it has been droped from a given height. If a ball that bounces like a tenniis ball, is dropped from a given …
  4. Calculus

    Hard rubber ball is thrown down from a building with a height of 5 metres. After each bounce, the ball rises to 4/5 of its previous height. Total vertical distance d ball has travelled at the moment it hits the ground for the 8th time, …
  5. 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
  6. 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?
  7. physics

    A superball is dropped from rest from a height of 2.0m. It bounces repeatedly from the floor, as superballs are prone to do. After each bounce the ball dissipates some energy, so eventually it comes to rest. The following pattern is …
  8. physics

    A superball is dropped from rest from a height of 2.0m. It bounces repeatedly from the floor, as superballs are prone to do. After each bounce the ball dissipates some energy, so eventually it comes to rest. The following pattern is …
  9. 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. Algebra

    A ball is dropped from the height of 20m. It bounces 60% of its previous height each bounce. The total distance travelled is made of the upward and downward bounces. What is the total vertical distance the ball has travelled after …

More Similar Questions