Question

Hi this equation describes a wave; y = sin(x + 3t) + (x + 3t). I need to derive it in order to get the maximum particle acceleration and I'm not sure how to begin. Any help would be greatly appreciated

Answer 1

second derivative of position is acceleration... max acceleration occurs when its derivative = 0

Answer 2

Yeah, the derivative of position is velocity and the second derivative of position is what you want-- acceleration. And you can directly figure out the maximum acceleration of the graph of second derivative.