Find Acceleration Diagram from Velocity Vector Diagram| University Physics

The figure above shows the motion diagram for an object. If the x-axis is chosen as shown (positive to the right), which of the diagrams below best represents the corresponding acceleration vs time graph? (In the graph, later time is to the right).

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Rank the diagrams according to the x-component of the acceleration| University Physics

The figure below shows six different motion diagrams. The separation between dots is in the same scale in all diagrams, and the time interval between dots is also the same for all of them. The direction of the positive x-axis is also shown. Rank the diagrams according to the x-component of the acceleration. (Positive is greater than negative)

Given functions, determine which has a velocity of zero at t=0 s| University Physics

The expressions below give the position function for an object moving along the x-axis. In which case is the velocity zero at time t = 0 s? In all cases, A comma B comma omega are non-zero constants.