"'E'_' 6. P0P FL" (10 Pom\") IWOFR this problem on the attached problem solving sheet] A baseball is throun mm with speed up and is subject to gravity and a qua___dratic drag force. Assume up is the +y direction. WARNING: Be careful, this is similar but NOT the same case presented in the textbook on pages 60-6 1. a. Find an expressiori for the time it takes the object to reach maximum height ms Start with Newton's Second Law and Show it can be written as dl'_ v 2 E"gl'+(::ll' where We: is the terminal velocity. Then use techniques we have discussed to nd what you need. If you use some resource to evaluate the integral, cite the resource and provide a brief note on how you did it (e.g. - if you use Maple or Wolfram Alpha, provide the command used). b. Check units of your formula, and discuss. c. For the limiting case check, use an appropriate Taylor series expansion of your solution in the vacuum limit and compare with what you expect. (You may look up the Taylor series in a calculus book, math tables, Maple, etc. If this takes more than 5 minutes, you are doing something wrong.) Discuss