Problem 1: The plot show x position vs time of a mass on a spring. Acceleration between t = 2 and 4 sec is positive. Why? From 2 to 3 sec, what is acceleration? From 3 to 4 seconds, what is the acceleration?
Problem 2: Position of a car is r(t) = ((v_x)(t-3))i-hat - (r_y)j-hat - (a_z)t^2(k-hat), where v_x = 4,/s. r_y = 1.5m, and a_z = 3m/s^2. At what time is the speed equal to 5m/s?© BrainMass Inc. brainmass.com September 20, 2018, 11:58 pm ad1c9bdddf - https://brainmass.com/physics/velocity-time-graphs/displacement-velocity-acceleration-graphs-32837
To solve this kind of problem, we should begin with deriving the equation of motion from graph. It is obvious that the graph is sinusoidal with phase = 0 with a general form,
where A and B are constant. ...
This solution includes graphs, equations, calculations and an explanation in an attached word document. This is all completed in 645 words.