18:02 Thu Feb 24 o o - 100% [:)| snhu.mobius.cloud i moius Gradebook v External v MAT225-H3813 22EW3 Calc I: Single-Variable Calc Module Eight 82 Module Eight Problem Set 8-2 Module Elght Problem Set Current Grade: 0.0 / 50.0 Remaining Time: 81:56:57 5|]th EMIC SUPPORT * Question 8 6 points How Did I Do? Do you need help with this problem or this material? Remember to use the Academic Support resources available on your homepage in Brightspace or or in the learning modules. In the previous Problem Set question, we started looking at the position function 5 (t) the position of an object at time t . Two important physics concepts are the veloocity and the acceleration. If the current position of the object at time t is s (t), then the position at time h later is 5 (t + h). The average velocity (speed) during that additional time h (5(t+h)*5(t)) h i.e. the derivative 3/ (t). Use this function in the model below for the velocity function 1) (t). is . 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. 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: Apanicle moves according to the position function 5 (t) : est sin (7t). Enclose arguments of functions in parentheses. For example. sin (2t) . (a) Find the velocity function. m): l (b) Find the acceleration function. a\") : Submit Assignment ' Quit&Save I ' Back H Question Menu