A particle accelerates from rest at 2.0 m/s2 for 2.0 s, then at 1.0 m/s2 for 3.0 s, then at constant velocity for 4.0 s. Sketch a graph of velocity versus time and determine (a) the average acceleration during the entire motion, and (b) the displacement.

Question

A particle accelerates from rest at 2.0 m/s2 for 2.0 s, then at 1.0 m/s2 for 3.0 s, then at constant velocity for 4.0 s.  Sketch a graph of velocity versus time and determine (a) the average acceleration during the entire motion, and (b) the displacement.

bobpursley · Answer

follow the directions. the slope of the velocity/time graph at any point is acceleration. The cumumative area under the graph is displacement.