m Southern New Hampshire University - 8-2 Module Eight Problem Set O X G & https://snhu.mobius.cloud/modules/unproctoredTest.QuestionSheet Manga Manga2 " channel " Dashboard School Computer setup ui y 6. . Pa Q HugCA ND 2 Q P 6 6 2 Usefull tips Other favorites Help | Zachary Bowen (zachary.bowen1@snhu.edu) | Logout mobius Gradebook External D2L m / MAT-225-H3815 22EW3 Calc I: Single-Variable Calc / Module Eight / 8-2 Module Eight Problem Set 8-2 Module Eight Problem Set Current Grade: 0.0 / 50.0 Remaining Time: 23:20:57 snhu Do you need help with this problem or this material? Remember to use the Academic Support resources available on your homepage in Brightspace or ACADEMIC SUPPORT or in the learning modules. Question 8 In the previous Problem Set question, we started looking at the position function s (t), the position of an object at time t . Two important physics concepts are the veloocity and the acceleration. 6 points How Did I Do? If the current position of the object at time t is s (t), then the position at time h later is s (t + h). The average velocity (speed) during that additional time his (s( tth)-s(t) ) h . If we want to analyze the instantaneous velocity at time t, this can be made into a mathematical model by taking the limit as h - 0, i.e. the derivative s' (t). Use this function in the model below for the velocity function v (t). + The acceleration is the rate of change of velocity, so using the same logic, the acceleration function a (t) can be modeled with the derivative of the velocity function, or the second derivative of the position function a (t) = v' (t) = s" (t). Problem Set question: A particle moves according to the position function s (t) = e7t sin (4t). Enclose arguments of functions in parentheses. For example, sin (2t). (a) Find the velocity function. v (t ) = (b) Find the acceleration function. a (t) = Submit Assignment Quit & Save Back Question Menu - Next 7:38 AM 2/27/2022