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Solved: Figure 2.68 shows the displacement graph for a

Chapter 2, Problem 66

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QUESTION:

Figure 2.68 shows the displacement graph for a particle for \(5 \ s\). Draw the corresponding velocity and acceleration graphs.

Questions & Answers

QUESTION:

Figure 2.68 shows the displacement graph for a particle for \(5 \ s\). Draw the corresponding velocity and acceleration graphs.

ANSWER:

Step 1 of 5

The rate of change of position is called velocity. It is denoted by v.

v = ds/dt

Here, ds is the change in the position, and dt is the change in the time.

The rate of change of velocity is called acceleration. It is denoted by a.

a = dv/dt

Here, dv is the change in the velocity.

Step 2 of 5

The below figure indicates the graph between the position and time as follows:

The time and corresponding position from the graph are tabulated below as,

\(\begin{array}{|c|c|} \hline \text { time }(\mathrm{s}) & \m

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