I need to find velocty function v(t) and acceration function a(t)

In the previous Problem Set question, we started looking at the position function's (t), the position of an object at time # Two important physics concepts are the velocity and the acceleration. If the current position of the object at time t is's (t), then the position at time h later is s ({ + h). The average velocity (speed) during that additional time his (s( 1 4 1) -s(1)) ! If we want to analyze the instantaneous velocity al time {, this can be made into a mathematical model by taking the limit as h -= 0, h file the denvative s (t). Use this function in the model below for the velocity function > (t) The acceleration is the rate of change of velocity so ising the same logic, the acceleration function a (c) can be modeled with the derivative of the velocity function or the second derivative of the position function at) - 2/ 0 - s" to) Problem Set question: A particle moves according to the position function s (t) - e2t sin (6t) Enclose arguments of functions in parentheses. For example, sin (2t) (a] Find the velocity function