math help please!?
Bob’s Super Ball bounces exactly half the hight from which it is dropped. He drops the ball from the top of a building that is 64 meters tall. How high will the ball bounce on its 7th bounce?
Thank you so much!
Favorite Answer
i dont kno if some formula has to be applied…i have simply calculated it….
that suppose it falls from 64 m then at the 1st bounce it will reach 32 m
then at 2nd bounce 16 m
then at 3rd bounce 8 m
then at 4th bounce 4 m
then at 5th bounce 2 m
then at 6th bounce 1 m
and at the 7th bouce 0.5 m
i suppose this is the right answer…
it follows as such:
1st bounce 64:2=32
2nd bounce 32:2=16
3rd bounce 16:2=8
4th bounce 8:2=4
5th bounce 4:2=2
6th …………. 2:2=1
7th …………. 1:2= 1/2
You see, every time the ball bounces up to the top height and it drops, mathematically, it’s like the start of the equation all over again,
hope this helps…
64 32 16 8 4 2 1 1/2
After the second, 16m
third, 8m
fourth, 4m
fifth, 2m
sixth, 1m
seventh, 0.5 m
So, I think the answer is 0.5m.
32×7=224
The ball will bounce 224 meters on it’s 7th bounce :]
I hope I helped.
2nd drop, will bounce from 32 to 16
3rd drop, will bounce from 16 to 8
4th drop wil bounce from 8 to 4
5th drop will bounce from 4 to 2
6th drop will bounce from 2 to 1
7th drop will bounce from 1 to 50cm
Louise x
*Brit*
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