A Super-Duper ball bounces twice its height when it is dropped. Carl dropped a Super-Duper ball from the roof of a 12-foot garage. How high will the ball bounce after 5 bounces?
so, this doesn't follow any rule of physics that the ball would slow down with each bounce?
After 1 bounce: 24 feet
2 bounces: 48 feet
3 bounces: 96 feet
4 bounces: 2 times 96 = ?
5 bounces: ?
To determine how high the ball will bounce after 5 bounces, we first need to determine the height of each bounce.
Since the Super-Duper ball bounces twice its height, we can calculate the height of each bounce using the formula:
height_of_bounce = initial_height * (bounce_factor)^(number_of_bounces)
where:
initial_height = the height from which the ball is dropped
bounce_factor = 2 (since the ball bounces twice its height)
number_of_bounces = 5 (as given in the question)
Substituting the given values into the formula, we have:
height_of_bounce = 12 * (2)^5
To find the final answer, we simply calculate the expression:
height_of_bounce = 12 * 32
height_of_bounce = 384 feet
So, after 5 bounces, the Super-Duper ball will bounce to a height of 384 feet.