How high will the ball bounce?
As part of a science experiment, you drop a ball from various heights and measure how high it bounces on the first bounce. The results of six drops are given below.
Drop height (m) 0.5 1.5 2 2.5 4 5
First bounce height (m) 0.38 1.15 1.44 1.90 2.88 3.85
How high will the ball bounce if you drop it from a height of 6 meters?
Is there a pattern here? I couldn't find a pattern.
This is high school Algebra 2 problem. It's not homework.
Drop height (m) 0.5 1.5 2 2.5 4 5
First bounce height (m) 0.38 1.15 1.44 1.90 2.88 3.85
How high will the ball bounce if you drop it from a height of 6 meters?
Is there a pattern here? I couldn't find a pattern.
This is high school Algebra 2 problem. It's not homework.
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There is no absolute answer but 4.56 m is a good estimate.
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LOL, ok, no need to calculate the velocity, it is just the ratio of how high the ball bounces compared to where it was dropped from.
..if you take the ratio as approximately .74 then
h/6 = .74
Which gives h as
h = 4.44
h/6 = .74
Which gives h as
h = 4.44
Theory may predict a perfect straight line, but as others have mentioned here, expect some error. Welcome to the real world! This real deviation from theory is one of the more challenging parts of science.
v = sqrt(2gy))
Then you could calculate the efficiency of the ball by how high it bounces back. It seems to be about 75% efficient