Relationship between dropping a ball from different heights and the number of times the ball bounces.
Table of content Introduction Theory Research question Hypothesis Methodology
5a. Materials
5b. Procedure Raw data Data analysis Conclusion Evaluation
Introduction:
The idea of this experiment of bouncing ball came into my mind because I was a Basketball player and used to have some practice session where our couch drops the basketball from certain height and we had to estimate the bounces the will take and according to that we had run, catch the ball at certain height where player able to basket it.
Therefore, I got the idea of performing this experiment to see how the different heights effect the times
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If the initial height is taken as y0 = 0; if the body is initially at rest so that v0 = 0; and if the positive y-direction is chosen to be downward, so that y increases as the body falls, and ay = g > 0; then the equation becomes y(t)=1/2 gt^2………………………………………………………………………………………………………………….(1)
If this relationship were unknown, it might seem reasonable to hypothesize that y and t followed a power-law relationship, with the form t=k×h^n………………………………………………………………………………………………………………………(2) Where k and n are real constants. Such a hypothesis could be tested by collecting data consisting of values of y and the associated values of t, then plotting log y vs. log t. Taking the logarithms of both sides of equation (3) yields log〖t=log〖(k×h^n )=log〖k+log〖h^n=log〖k+n logh 〗 〗 〗 〗 〗
Thus, if equation (2) is correct, the points (log t, log y) should lie on a straight line with slope n and intercept log k. From (1), it should be found that n = 2 and that k = (1/2) g g=2k=2e^logk Research question:
Thereby, this experiment will focus on the research question:
How does increasing the height when releasing a Tennis ball effects, the time it takes to stop bouncing?