Question

The following are graphs of Vx and vy as functions of time. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds) 0 1 2 3456 7 8 9 10 11 12 13 time (seconds) Use these graphs to make sketches of: x, ax, y, and ay as functions of time.θ|2345678910111213 time (seconds) θ|2345678910111213 time (seconds) θ|2345678910111213 time (sec onds) θ|2345678910111213 time (seconds)0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds)θ|2345678910111213 time (seconds) θ|2345678910111213 time (seconds) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 time (seconds) 0 1 2 3 4 5 6 78 9 10 11 12 13 time (seconds)time (seconds θ|2345678910111213 time (seconds) θ|2345678910111213 time (seconds)

The choices for a graph are shown

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Answer #1

For these type of questions just focus on some special features of the given graph and then figure out how those features would look like in their differentials or integrals.

Acceleration is the derivative(slope); Displacement is integral(area.)

Graph L= ax

At t=6, velocity should be 0 and before 6, slope is -ve and after it, its -ve. This feature is only present in L. With similar considerations all graphs can be figured out.

graph N for x displacement.

Graph D for ay

Graph K for y displacement

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