A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
e nth bounce: f(n) = 9(0.7)n
What does the number 0.7 represent?
The ball bounces to 30% of its previous height with each bounce.
The height at which the ball bounces at the nth bounce is 0.3 feet.
The ball bounces to 70% of its previous height with each bounce.
The height from which the ball was dropped at the nth bounce is 0.7 feet.
The ball bounces to 70% of its previous height with each bounce.
Step-by-step explanation:
In physics terminology, the number 0.7 is the <em>coefficient of restitution</em>. It is the ratio of the height of bounce (n+1) to the height of bounce (n).
The meaning of the number is that the ball bounces to 70% of the height of the previous bounce.
