A tennis ball is dropped from a height of 32 feet, rebounding to 1/2 its former height with each bounce. How far will the ball have traveled VERTICALLY when it comes to a rest?

Answer 1

infinite geometric series
a1 = 32
r = .5

sum = a1 (1 - r^n) / (1-r)

= 32 (1 - .5^oo) /(1 - .5)
=32 /.5 = 64

Answer 2

wait a minute that ignored the up parts

32 + 16 + 16 + 8 + 8 + 4 + 4 .....

32 + 2 ( 16)/.5

= 32 + 64 = 96

Answer 3

atmospheric pressure decreases as you go higher and,it decreases 20% as for every 1000m.
given that the pressure at sea level is about 1013hpa.
what would the pressure be at 8,848m high?