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 velocity and the acceleration. It 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] dun'ng that additional time s t+h s t h is i r i l i} is the derivative 5' (it). Use this function in the model below for the velocity function u (it). . lfwe wantto analyze the instantaneous velocity at time t, this can lie made into a mathematical model by taking the limit as h > It], 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 ofthe velocity function, or the second derivative of the position function c: {t} = u' [t] = s" {1:}. Problem Set question: A particle moves according to the position function s[t) = 5'\" 5111(33]. Enclose arguments of functions in parentheses. For example, sin [2:]. la] Find the velocity function. LI\"): Ea {til Find the acceleration function. atti= @E