Your 'ball down ramp' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your general comment **
** Will a steeper ramp give greater or lesser time? **
I think the time to roll will be least for the ramp with the steepest slope.
** As slopes increases will time intervals increase, decrease or show no pattern? **
I think they would be decreasing.
** Your report of 5 trials each way for 1 domino **
2.640625
2.375
2.515625
2.546875
2.484375
2.203125
2.125
2.25
2.203125
2.1875
It is how long it took the ball to roll down the 30 cm ramp before hitting the metal piece (starting from rest). I used my right hand to remove the domino and my left to operate the timer system.
** Your report of 5 trials each way for 2 dominoes **
1.5
1.328125
1.640625
1.484375
1.546875
1.5
1.3125
1.375
1.34375
1.359375
I conducted the same experiment using the same exact methods and procedures as before, except that this time there was two dominos under the end of the ramp.
** Your report of 5 trials each way for 3 dominoes **
1.328125
1.125
1.078125
1.125
1.375
1.03125
1.109375
1.1875
1.078125
1.015625
Again, same procedure exept 3 dominos as opposed to two.
** Do your results support or fail to support your hypothesis about increasing or decreasing times? **
As the slope of the ramp increases, the time it takes for the ball to roll down the ramp decreases. This correlation is negative--the slope of the line resulting from this information is negative. Thus, the data supports my initial hypothesis.
** How do you think ave velocity is related to slope? **
vAve='ds/'dt
The slope of the ramp has no *direct* correlation with the formula; BUT the slope of the ramp affects how fast the ball rolls down the ramp (the 'dt part of the equation), indicating that even though the slope of a ramp isn't a direct part of the equation it can have a bearing on the average velocity of an object.
** Speculate on why ave velocity changes with slope. **
The slope of the ramp affects how fast the ball rolls down the ramp, which affects the change in time part of the vAve equation.
** How could you test your speculations? **
One could merely calculate the vAves for the different slopes.
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45 minutes
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Good responses. Let me know if you have questions.