Posted by lisa on Tuesday, January 13, 2009 at 8:03pm.
the height that a ball bounces varies directly as the height from which it is dropped. A ball dropped from a height of 20cm bounces 16cm
a) Find the height of the bounce if the ball is dropped from a height of 280cm
b) Find from waht height the ball was dropped if it bounces to a height of 120cm
Thanks in advance.

math  Reiny, Tuesday, January 13, 2009 at 10:42pm
let h be the new height, let x be the height it was dropped from, then
h = kx, where k is a constant
when x=20, h=16
so 16=k20
k = 16/20 = 4/5
then h =4x/5
a)when x= 280
h = 4(280)/5 = 224
b) when h = 120
120 = 4x/5
600 = 4x
x = 150
Answer This Question
Related Questions
 calculus  A ball has bounce coefficient 0 < r < 1 if when it is dropped ...
 maths lit  a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 ...
 science  Science Experiment Determine a mathematical modelwhich describes the ...
 11  A ball is dropped vertically from height of 30 meters after bounces.The ...
 Algebra 2  A ball is dropped from a height of 25 feet and allowed to continue ...
 math  when a ball is dropped, it bounces back up 4/5 of the height from the ...
 Physics  A ball is dropped from an undetermined height and bounces to 5 meters...
 Math  3rd grade summer work  A SuperDuper ball bounces twice its height when ...
 math  Fay's rubber ball bounces exactly half the height from which it is ...
 Geometric Series question? Help!?  A bouncy ball bounces to 2/3 of its height ...
More Related Questions