Data Table. For each collision, record mass, initial velocity, final velocity, force-time area. NOTE that on the next page, you need to sketch your best runs, so be sure to SAVE EACH RUN before you run the experiment again. slow, low slow, high fast, low fast, high Abrupt mass mass mass mass collision (no spring) total cart mass 500 9 15009 500 150 09 (kg) 500g initial velocity (m/s) 0.446 6.394 0. 853 0. 619 0. 502 final velocity (m/s) -0. 289 - 0-3 - 0.714 - .277 - 0.375 Area of force-time ( N. S) - 0.31 - 0.137 -0.821 -1.406 -0. 435 Peak force (N) - 2.43 - 1.45 - 10-19 - 11.4 2 -6.71 2.95-7.3 base of force-time 2.9-2.45 1.8- 1-85 2-15- 1.7 2.1- 1-9 (s) 0.45 0-60 0.25 0-45 0- 15 time interval How does the area of the Force-time graph compare to the change in momentum of the cart? Are the two things related? Show calculations below, then answer the questions on the following page