Question

A person on horseback moves according to the velocity-versus-time graph shown in the figure (attached) . . A. Find the displacement of the person for segment A of the motion. . . B. Find the displacement of the person for segment B of the motion. . . C. Find the displacement of the person for segment C of the motion.

Answer 1

From my research, the following image is used for the problem. For each segment, the displacement can be obtained by looking for the area under the segment.

Part A:

displacement = (1/2)*10*2 = 10m

Part B:

displacement = [(1/2)*4*5] + (5*2) = 20m

Part C:

displacement = [(1/2)*4*10] + (2*10) = 40m