Graphing Motion -Smith Name __________________________ Kinematics WS ___ Date _____________ Per _______ 1. A car travels at a constant 20 m/s for 10 s. Fill in the table showing the cars displacement from the origin at the end of each second. Then graph the motion. t (s) d (m) 1 2 3 4 5 6 d 7 8 9 10 t 2. What is the slope of the curve plotted? __________ 3. How does this compare to the velocity, given, in number 1 above? 4. Complete the table showing the cars velocity at the end of each second. Then complete the velocity-time plot. t (s) v (m/s) 1 2 3 4 5 6 v 7 8 9 10 t 5. Find the area under the curve for the first 5 seconds. __________ 6. How does this compare to the displacement, for the first 5 seconds, in number 1 above? Study Guide and Review Worksheet: Graphing Motion 11 7. The slope of the displacement-time graph is ____________________. 8. The slope of the velocity-time graph is ____________________. 9. The area under the acceleration-time graph is ____________________. 10. The area under the velocity-time graph is ____________________. Answer the next series of questions using the following displacement-time graph. 20 15 d (m) 10 5 5 10 t (s) 15 20 25 11. How far does the object travel during the first 5 seconds (1 to 5 s)? __________ 12. How far does the object travel during the second 5 seconds (5 to 10 s)? __________ 13. How far does the object travel during the third 5 seconds (10 to 15 s)? __________ 14. How far does the object travel during the fourth 5 seconds (15 to 20 s)? __________ 15. How far does the object travel during the last 10 seconds (20 to 30 s)? __________ 30 16. During which time interval(s) is the object standing still? 17. Does the car ever accelerate in this scenario? 18. Draw the velocity time graph for the above scenario. Study Guide and Review Worksheet: Graphing Motion 12 Answer the next series of questions using the following velocity-time graph. 20 C 15 v D (m) 10 B E 5 A 5 10 t (s) 15 20 25 19. During which interval(s) is the object accelerating? _______________ 20. During which interval(s) is the acceleration the greatest? _______________ 21. During which interval(s) is the object standing still? _______________ 22. During which intervals does the object have the same speed? _______________ 23. What is the displacement during interval A? _______________ 24. What is the displacement during interval B? _______________ 25. What is the displacement during interval C? _______________ 26. What is the displacement during interval D? _______________ 27. What is the displacement during interval E? _______________ 30 28. Draw the acceleration-time graph for the above scenario. Study Guide and Review Worksheet: Graphing Motion 13 Complete the series of graphs: displacement-time, velocity-time, and acceleration-time. 29. 30. 31. d d d t v t a d d t 35. 37. t Study Guide and Review d t v t t a a t t t v a t 40. d v a t t t t a 39. d v v t t t t a 38. d d v a t 36. t t a t d v t a t t v t a t 34. v t a 33. t v t t d t v t 32. t Worksheet: Graphing Motion t 14