Direction of movement for particles in a wave
1. The problem statement, all variables and given/known data
The question includes a graph of a wave (on a string) with several points labeled on the graph. We are asked to determine the direction of the transverse velocity of each point on the wave as well as the transverse acceleration.
2. Relevant equations
3. The attempt at a solution
I know that the direction of transverse acceleration depends on the curvature of the wave, i.e. for negative curvature the transverse acceleration is also negative. However I'm not sure how to figure out which direction the velocity is moving in. I guessed that the points whose y-coordinates were larger than 0 had negative transverse velocity because that is the direction of equilibrium, and similarly points below the x-axis had positive transverse velocity. But this assumes the equilibrium position of the string is at x = 0, how do you tell for general case? Thanks