6. (15 pts) A ball is thrown upwards at 13.0 m/s toward the ceiling located 6 m above the point where you release the ball. Air resistance is negligible. Objects falling near the earth's surface with no forces acting except gravityl have a downwards acceleration of magnitude 9. For this problem use 9 = 10 m/sz. a. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the picture by indicating the location of the origin and position direction. b. Find the time taken to reach the ceiling. c. Find the velocity just before the ball touches the ceiling. 7. {10 pts) Indianapolis race cars make a rolling start. At the beginning of the race they are moving at 50 m/s [about 105 mph] and they accelerate uniformly to 110 m/s [about 250 mph) in 3.0 seconds. The cars then moves at constant speed afterwards. a. Make a labeled picture with symbols and all relevant values. Put a coordinate system on the picture by indicating the location of the origin and position direction. The goal is to have all the information in the picture so we can refer to the picture instead of the words in the problem statement. b. Make kinetics graph for the first 11 seconds of the motion. Include axis labels with units. Choose the graph that will allow you to find acceleration and displacement. c. What is the acceleration of the cars? d. How far do the cars travel in the first five seconds