# A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can......................

542 views

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

posted Aug 26, 2014

## 1 Solution

16/81

1 bounce, results in =2/3 of the original height
4 bounces result in =(2/3)^4 =16/81 or original height

solution Mar 23

Similar Puzzles
+1 vote

A ball is dropped vertically upon a slope. What type of progression do the distances between each consecutive bounce?

Assumptions:
-Ignore air resistance
-Assume all collisions to be perfectly elastic

In Africa, if you drop a steel ball weighing five pounds from a height of 5 feet, will it fall more rapidly through water at 20 degrees Fahrenheit or water at 40 degrees Fahrenheit. Or will it make no difference?

+1 vote

How can you throw a ball as hard as you can and have it come back to you, even if it doesn't bounce off anything? There is nothing attached to it, and no one else catches or throws it back to you?

+1 vote

A bag contains 5 white, 4 red and 3 black balls. A ball is drawn at random from the bag, what is the probability that it is not black?