Questions about the graphs 1. Earlier in the semester, we were able to represent motion with constant acceleration graphs, and we learned kinematic equations that work when acceleration is constant. Can we use those models (the graphs, the relationships, the equations) with a single I constant acceleration value for the entire 15 seconds of motion that we have graphed? Use graphs and other evidence to explain why or why not. The bounces are not instantaneous! Use one or more of the motion graphs (position, velocity, or acceleration vs. time) to estimate the amount of time that the cart was in contact with the bumper during the rst \"bounce.\" Show your work, and describe how you did so. Let's examine trends. Look specically at the data from the t = 0.00 s mark to around the t = 1.75 s mark. What trends do you observe in the data for the kinetic energy (KB) and the gravitational potential energy (GPE)? For that same time interval (in the previous question), what trends do you observe in the total mechanical energy (ME)? 5. Look specically at the data from the t = 2.00 s mark to the t = 6.00 5 mark. What trends do you observe in the data for the kinetic energy (KB) and the gravitational potential energy (GPE)? 6. For that same time interval (in the previous question), what trends do you observe in the total mechanical energy (ME)? '7. How do the mechanical energy (ME) values compare between the rstanisecondjjme intervals mentioned previously? Are they close to the same? Why or why not? 8. The cart does not bounce back to its initial position. Use energy concepts to explain this result: What is the primary cause? Where and when do this primary cause take place? \fPosition vs. Time 2.0000 1.8000 1.6000 1.4000 1.2000 Position (m) 1.0000 0.8000 0.6000 0.4000 0.2000 0.0000 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 16.00 Time (s) Velocity vs. Time 1.5000 1.0000 0.5000 Velocity (m/s) 0.0000 0.00 2.00 1.00 6.00 5.00 18.00 12.00 4.00 16.00 -0.5000 -1.0000 -1.5000 Time (s) Acceleration vs. Time 4.0000 2.0000 0.0000 W -2.00000.00 2.00 4.00 6.50 8.00 10.00 12.00 14.00 8 16.00 -4.0000 Acceleration (m/s^2) -6.0000 . .. 8.0000 -10.0000 -12.0000 -14.0000 Time (s)