Time (s) 0 1 2 3 4 5 7 8 9 10
Δ X (m/s)
Position
0 3 7 12 17 24 22 17 14 14
1. Graph the table above (include title, label the independent (x) and dependent variable (y), use the proper scale)
2. Identify on your scale the positive acceleration and the negative acceleration.
3. For how many seconds was the motion of ball traveling at an increase in velocity (positive acceleration)?
3. At which second did themotion of the ball start to show a decrease in velocity (negative acceleration)?
4. At any point did the motion of the ball travel at a constant acceleration? When?
5. What occured in the 9th and the 10th second with the motion of the ball?
1. To graph the table, you will need to plot the time (s) on the x-axis and the position (ΔX) on the y-axis.
- The time (s) will be the independent variable, so it goes on the x-axis.
- The position (ΔX) will be the dependent variable, so it goes on the y-axis.
- Make sure to label the axes with the variables they represent.
- Determine the appropriate scale for each axis based on the data points given.
2. To identify positive and negative acceleration on the graph:
- Positive acceleration corresponds to increasing position (ΔX) values.
- Negative acceleration corresponds to decreasing position (ΔX) values.
- On the graph, positive acceleration can be seen as an upward trend, while negative acceleration can be seen as a downward trend.
3. To determine the duration of positive acceleration:
- Look for consecutive time intervals where the position (ΔX) values are increasing.
- Count the number of seconds during those intervals to determine the duration of positive acceleration.
4. To identify when the motion of the ball started to show a decrease in velocity (negative acceleration):
- Look for a point on the graph where the position (ΔX) values start to decrease.
- Note the time (s) associated with that point.
5. To determine if there was any point of constant acceleration:
- Look for a section on the graph where the position (ΔX) values are changing uniformly.
- If there is a section with a straight line or a constant slope, then the motion of the ball traveled at a constant acceleration during that time.
6. To understand what occurred in the 9th and 10th second with the motion of the ball:
- Refer to the table and note the position (ΔX) values at the 9th and 10th second.
- Analyze whether the position (ΔX) values increased, decreased, or remained the same during that time.
Once you have followed these steps, you will be able to answer the questions based on the graph you created.