.38 x 1 or .5m = .38m

.38 x 10 or 5m = 3.8m

.38 x 12 or6m = 4.56 m

There are some factors that I can not calculate.

But I hope this help somewhat.

Solved

Posted on 2012-09-03

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.

7 Comments

.38 x 1 or .5m = .38m

.38 x 10 or 5m = 3.8m

.38 x 12 or6m = 4.56 m

There are some factors that I can not calculate.

But I hope this help somewhat.

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

0.38/0.5 = .76

1.15/1.115 = .74

1.44/2 = .72

1.9/2.5= .76

2.88/4 = .72

The data is to with in experimental error approximated by a straight line, (which analytically the ball should do). My guess is the problem is to find the best fit through this data

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