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? **
The time required to roll the length of the ramp will be greatest for the steepest ramp
** As slopes increases will time intervals increase, decrease or show no pattern? **
I would expect the time intervals to be decreasing, or becoming smaller, as the slopes went from least to greatest.
** Your report of 5 trials each way for 1 domino **
1.906
1.921
1.922
1.953
1.984
1.859
1.769
1.812
1.828
1.859
The first five numbers of the above data are the time intervals in which in took for the ball to roll down the ramp and hit the bracket, being on the right side. The second set of five numbers of the above data are the time intervals in which it took for the ball to roll down the ramp and hit the bracket, being on the left side. I obtained these numbers by using the TIMER program and clicking the button as soon as the ball was released down the ramp and as soon as the ball hit the bracket. I then recorded the values.
** Your report of 5 trials each way for 2 dominoes **
1.234
1.328
1.234
1.265
1.390
1.328
1.453
1.359
1.343
1.312
The above data is the time intervals between the time the ball rolled down the ramp, on 3 dominoes, until it hit the bracket. The data was collected by using the TIMER program and clicking as soon as the ball was released and then clicking again as soon as the ball hit the bracket. This was done 5 times in both the right and left directions.
** Your report of 5 trials each way for 3 dominoes **
1.140
1.063
1.078
1.015
1.062
1.062
1.015
1.063
1.109
1.031
** Do your results support or fail to support your hypothesis about increasing or decreasing times? **
My results do not fail to support the hypothesis I stated in the first two questions, they actually do support the hypothesis. My results show that the steeper the ramp gets, adding more dominoes, the time intervals decrease. As the slope increased, the time intervals decreased.
** How do you think ave velocity is related to slope? **
The average velocity of the ball is related to the slope of the ramp because the average velocity increases as the slope increases. As the slope increase, the ball goes faster, causing it to have a greater average velocity as we add more and more dominoes because the dominoes increases the slope.
** Speculate on why ave velocity changes with slope. **
Average velocity changes with slope because as the slope increases, so does the average velocity.
** How could you test your speculations? **
You could verify whether this is a valid explanation by simply taking the distances the ball travels and dividing it by clock time to see calculate average velocity. For example, it would be easy to see that if the ball traveled about 35 cm in 1.063 seconds, the average velocity would be 32.9 cm/s. If the ball traveled 35 cm in 1.987 seconds, the average velocity would be 17.61 cm/s. The average velocity of the first example is greater than that of the second because the ball was traveling at a smaller time interval, because of the slope being greater.
** **
about 1 hour
** **
&#Very good responses. Let me know if you have questions. &#
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? **
The time required to roll the length of the ramp will be greatest for the steepest ramp
** As slopes increases will time intervals increase, decrease or show no pattern? **
I would expect the time intervals to be decreasing, or becoming smaller, as the slopes went from least to greatest.
** Your report of 5 trials each way for 1 domino **
1.906
1.921
1.922
1.953
1.984
1.859
1.769
1.812
1.828
1.859
The first five numbers of the above data are the time intervals in which in took for the ball to roll down the ramp and hit the bracket, being on the right side. The second set of five numbers of the above data are the time intervals in which it took for the ball to roll down the ramp and hit the bracket, being on the left side. I obtained these numbers by using the TIMER program and clicking the button as soon as the ball was released down the ramp and as soon as the ball hit the bracket. I then recorded the values.
** Your report of 5 trials each way for 2 dominoes **
1.234
1.328
1.234
1.265
1.390
1.328
1.453
1.359
1.343
1.312
The above data is the time intervals between the time the ball rolled down the ramp, on 3 dominoes, until it hit the bracket. The data was collected by using the TIMER program and clicking as soon as the ball was released and then clicking again as soon as the ball hit the bracket. This was done 5 times in both the right and left directions.
** Your report of 5 trials each way for 3 dominoes **
1.140
1.063
1.078
1.015
1.062
1.062
1.015
1.063
1.109
1.031
** Do your results support or fail to support your hypothesis about increasing or decreasing times? **
My results do not fail to support the hypothesis I stated in the first two questions, they actually do support the hypothesis. My results show that the steeper the ramp gets, adding more dominoes, the time intervals decrease. As the slope increased, the time intervals decreased.
** How do you think ave velocity is related to slope? **
The average velocity of the ball is related to the slope of the ramp because the average velocity increases as the slope increases. As the slope increase, the ball goes faster, causing it to have a greater average velocity as we add more and more dominoes because the dominoes increases the slope.
** Speculate on why ave velocity changes with slope. **
Average velocity changes with slope because as the slope increases, so does the average velocity.
** How could you test your speculations? **
You could verify whether this is a valid explanation by simply taking the distances the ball travels and dividing it by clock time to see calculate average velocity. For example, it would be easy to see that if the ball traveled about 35 cm in 1.063 seconds, the average velocity would be 32.9 cm/s. If the ball traveled 35 cm in 1.987 seconds, the average velocity would be 17.61 cm/s. The average velocity of the first example is greater than that of the second because the ball was traveling at a smaller time interval, because of the slope being greater.
** **
about 1 hour
** **
&#Very good responses. Let me know if you have questions. &#