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. 0
  2. 25
asked by Melissa
  1. This is just finding the sum of the sum of the series

    -3 + 6*.6 + 6*.6*.6 + ...
    We subtract off the 3 because the ball didn't start from the ground, so its first hop is only the downward part.

    a = 6
    r = 0.6

    S5 = 6 (1-.6^5)/(1-.6)
    = 6(2.3056) = 13.8336
    S5 - 3 = 10.8336

    Check: 3 + 3.6 + 2.16 + 1.296 + 0.7776 = 10.8336

    1. 0
    posted by Steve
  2. a ball is droped from a height of 30m above level ground. After each bounce it rises to three quarters of the height from which it fell. find,to the nearest metre, the total distance it has travelled when it strikes the ground for the 7th times

    1. 0
    posted by Anonymous
  3. 207.76

    1. 0
    posted by gata

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    the height that a ball bounces varies directly as the height from which it is dropped. A ball dropped from a height of 20cm bounces 16cm a) Find the height of the bounce if the ball is dropped from a height of 280cm b) Find from
  2. PHISIC help

    A bouncy rubber ball is dropped from a height of about a metre above the ground .it falls to the ground, bounces and then rises back to almost the height from which it was dropped. Describe the main energy transformations that
  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
  4. preparation

    a ball of mass .1kg initially at rest is dropped from height of 1 meter.ball hits the ground and bounces off the ground.upon impact with the ground its velocity reduces by 20%.the height to which the ball will rise is?
  5. physics

    A ball of mass 0.1 kg, initially at rest, is dropped from height of 1 m. Ball hits the ground and bounces off the ground. Upon impact with the ground, its velocity reduces by 20%. The height (in m) to which the ball will rise is:
  6. calculus

    A ball has bounce coefficient 0 < r < 1 if when it is dropped from height h, it bounces back to a height of rh. Suppose that such a ball is dropped from an initial height a and subsequently bounces infinitely may times. Find the
  7. Physics

    2. Consider the ball example in the introduction when a ball is dropped from 3 meters. After the ball bounces, it raises to a height of 2 meters. The mass of the ball is 0.5 kg a. What is the speed of the ball right before the
  8. science

    A bouncy rubber ball is dropped from a height of about a metre above the ground .it falls to the ground, bounces and then rises back to almost the height from which it was dropped. Describe the main energy transformations that
  9. math

    Here is the question: 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
  10. physics

    A ball of mass 0.1kg is dropped from a height of 8m into a hard floor and bounces back to a height of 2m calculate the velocity when the ball hits the ground, the velocity with which the ball leaves the ground,the momentum when

More Similar Questions