math

Sandy dropped a basketball from the top of her Mom'soffice building which is 72 meters tall. She discovered that the first bounce bounced 36m on the second bouce the ball bounced 18 meters. if this pattern continues, how high will the ball bounce on the sixth bounce?

72/(2^6)=??

im only in 7th grad i don't understand that


Looking at the problem tells you that 72 bounces back to 36 (1/2 of the original 72), the next bounce is 18 (again 1/2), the next bound will be 9, the next etc. Make a table like this.
#&nbsp&nbsp&nbspheight
0 &nbsp&nbsp&nbsp72 meters
1 &nbsp&nbsp&nbsp36 meters
2 &nbsp&nbsp&nbsp18 meters
3 &nbsp&nbsp&nbsp9 meters
4 &nbsp&nbsp&nbsp4.5 meters
5 &nbsp&nbsp&nbsp2.25 meters
6 &nbsp&nbsp&nbsp1.125 meters.

But we can save a little time by simply raising 2n where n is the number of bounces. So 2n = 26 = 2*2*2*2*2*2 = 64
then 72/64 = 1.125

I hope this helps.

  1. 👍 0
  2. 👎 0
  3. 👁 203

Respond to this Question

First Name

Your Response

Similar Questions

  1. trigo

    from the top of 90 meters high building it is observe that the top of another building make a 40 degree angle depression. if two buildings 75 meters apart how tall is the other building?

    asked by jayson austria on October 18, 2011
  2. physic

    A ball is dropped from the top of an apartment building. A person is on a patio somewhere beneath the top of the apartment building and the person notices the ball takes 0.11 seconds to fall from the top of his patio to the bottom

    asked by elle on September 24, 2015
  3. Math

    Please explain how to figure out the following 7th grade math problem: If a rubber ball bounces exactly 1/2 the height from which it is dropped; and it is dropped from the top of a building that is 64 meters tall, how high will

    asked by Jaleel on October 30, 2007
  4. Physics

    A stone is dropped from the root of a building. A person in the building observes that the stone crosses his window that is 2 meters tall in a time of 0.2 second. How far is the roof from the top of the window?

    asked by Joe on June 30, 2016
  5. Physics

    A rock dropped from the top of a building takes 0.55 s to fall the last 50% of the distance from the top to the ground.How tall is the building?

    asked by Anonymous on January 27, 2016
  6. Calculus

    A chain 64 meters long whose mass is 20 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 3 meters of the chain to the top of the building?

    asked by Ryan on September 29, 2012
  7. Trigonometry

    The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72° respectively. How tall is the office building? How far apart are the two buildings?

    asked by Kate on July 18, 2015
  8. physics

    A ball is dropped from the top of a building. The balls fall 3 times farther during its last second of freefall than it did during its third second of freefall. The ball fell 4.9 meters during its first second, how tall is the

    asked by hi on October 25, 2014
  9. physics

    A ball is dropped from the top of a building. The balls fall 3 times farther during its last second of freefall than it did during its third second of freefall. The ball fell 4.9 meters during its first second, how tall is the

    asked by H on November 11, 2012
  10. queen's science Academy

    A stone is dropped from the top of a tall building and at the same time another stone is thrown vertically upward from the ground level with a velocity of 20m/s the stones meet exectity 2s after their release how tall is the

    asked by Aisha naabba on June 14, 2015

More Similar Questions