Fay's rubber ball bounces exactly half the height from which it is dropped. She drops the ball from the top of a building that is 64 meters tall. How high will the ball bounce on its eighth bounce.
Could someone explain this?
Thank you!
Natalie
1/2 of 64= 32.
32 feet is how high it bounces on the 1st bounce
1/2 of 32=16
16 feet is how high it bounces on the 2nd bounce
Need anymore help or can you do the rest by yourself?
8 meters
The nth bounce derives from
B = 64/(2^n)where n == the nth boumce.
the answer is 1/4 meters
A ball rebounds half of the height from which it is dropped.assume the ball is dropped 128.5.how far will the ball have bounced on its fifth bounce
To find out how high the ball will bounce on its eighth bounce, we can use the formula B = 64/(2^n), where B is the height of the bounce and n is the number of the bounce.
Using this formula, we can substitute n = 8 to find the height of the eighth bounce:
B = 64/(2^8)
B = 64/256
B = 1/4 meters
Therefore, the ball will bounce 1/4 meters high on its eighth bounce.
To solve this problem, we need to use the given information that Fay's rubber ball bounces exactly half the height from which it is dropped.
First, we need to determine the height of the ball's first bounce. If Fay drops the ball from a 64-meter tall building, the ball will bounce to half that height, which is 64/2 = 32 meters.
For each subsequent bounce, we need to find half the height of the previous bounce. So, on the second bounce, the ball will bounce to half the height of the first bounce, which is 32/2 = 16 meters.
To find the height of the ball's eighth bounce, we can continue this pattern. Since each bounce is half the height of the previous bounce, we can continue dividing by 2 to find the height for each consecutive bounce.
Starting with the second bounce:
16/2 = 8 meters (third bounce)
8/2 = 4 meters (fourth bounce)
4/2 = 2 meters (fifth bounce)
2/2 = 1 meter (sixth bounce)
1/2 = 0.5 meters (seventh bounce)
0.5/2 = 0.25 meters (eighth bounce)
Therefore, the ball will bounce to a height of 0.25 meters on its eighth bounce.
To summarize, we can use the formula B = 64/(2^n) to find the height of the nth bounce, where n is the number of bounces. In this case, we used n = 8 to find the height of the eighth bounce, which is 0.25 meters.