SOLUTION: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it.
If the height of the
Algebra.Com
Question 185198: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it.
If the height of the third bounce is 10.29m., at what height are we standing>????????????????????????????????? PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPP !!!!!!!!!!!!! I ReALLY NEED HELPPPPPPPPPPPPPPPPPP !!!!!!!!!!
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Each bounce results in the new height being 0.7 of the original height
HeightAtThirdZBounce=10.29m
so HeightAtSecondBound must be (10.29)/(0.7) = 14.7
and HeightAtFirstBound must be 14.7 / (0.7) = 21
finally originalHeight must be 21/(0.7) = 30m
Check your answer is
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let h be the height you are looking for. Then let
be the height after the 1st bounce and
be the height after the 2nd bounce. Then 70% of
equals 10.29 m, which is then equal to 70% of
, which is then equal to 70% of
, so:
You can do your own arithmetic.
John

RELATED QUESTIONS
We are standing on a roof and we throw a ball from a certain height.The height of the... (answered by Edwin McCravy)
A ball is dropped from 30 meters. It bounces to 88 % of its previous height on each... (answered by josmiceli)
Suppose that a ball is dropped from a height of 30ft and that each bounce reaches to 3/8... (answered by MelanieBCC)
3. A ball is dropped vertically from a height of 50 meters. After each bounce, the ball... (answered by richwmiller)
3. A ball is dropped vertically from a height of 50 meters. After each bounce, the ball... (answered by mananth)
A ball is dropped vertically from a height of 50 meters. After each bounce, the ball... (answered by josmiceli)
3. A ball is dropped vertically from a height of 80 meters. After each bounce, the ball... (answered by josmiceli)
Keyson is conducting a physics experiment. He drops a tennis ball from a height of 100... (answered by checkley71)