" Firefox File Edit View History Bookmarks Tools Window Help Fri Apr14 7:12PM ,. a 5 Ask a Question X a SCREENSHOT ON MACBOOK X Derivatives-1.pdf V C O D filez/I/Users/a|ex/Downloads/Derivatives1.pdf i3 0 a 5 Gmail @ News @ Translate Q csns 1400: Fundam... @ Home @ stcc if? Canvas 9 Outlook Mail @ WSSchools Online @ Directory Listing '1 Dashboard - Edclub Domains on epiz_3... 9 James Stewart Cale... >> /\\ V 1 of1 + AutomaticZoom v 6 B] I f Suppose that a particle moves according to the law of motion 5(t) = t4 61:5 + 41.\" + 3 with t2 0, where s is in meters and t is in seconds. Use your knowledge of the relationship between position, velocity, and acceleration to answer the following questions. Use exact values (not approximations) throughout. a) Find the velocity of the particle at time t. What is the velocity at z = 0? b) Determine, using algebraic analysis, when the particle is moving in a positive direction, a negative direction, and when it is at rest. 0) Find the total distance traveled by the particle in the first 6 seconds. (1) Find the acceleration of the particle at time t. What is the acceleration at t = 0? l e) When is the particle speeding up and slowing down? Explain how you found your answers. Show all your steps and include narrative text explaining your work to your reader. Include computer generated graphs of your position, velocity, and acceleration functions. Explain how the graphs support your answers to parts a e above. Note that the graph is not providing the answers, but supporting the mathematical steps and calculations you made before using technology to graph the functions. Merely pointing to a graph to explain any of your answers above is not an acceptable method of demonstrating understanding. Write a paragraph reecting on your solution process. What problems did you encounter in completing the assignment? How did you troubleshoot them, if you did? What new skills or insights did completing the assignment give you? Give a specic \"real world\" example of the use of derivatives that is significantly different from the problem you just solved, Your example should include the meaning or purpose of the derivative and an explanation of why it may be important in a real application. Cite any sources used. game 71:38