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Chapter 2: Q. 9 (page 59)

FIGURE EX2.9 shows the velocity graph of a particle. Draw the particle’s acceleration graph for the interval 0s≤t≤4s

Short Answer

Expert verified

The graph of the acceleration of the particle is shown below

Step by step solution

01

Acceleration of a particle.

Acceleration is the slope of the velocity-time graph.

Consider two points on the graph, t1,v1=0,2and t2,v2=2,2.

The slope of the velocity-time graph is

ax=v2-v1t2-t1=2-22-0=0ms2

Now consider points t2,v2=2,2and t3,v3=4,4.

The slope of the velocity-time graph is

ax=v3-v2t3-t2=4-24-2=22=1ms2

02

Graph of particle’s acceleration.

From the information obtained in step 1, draw a graph of the acceleration of the particle.

The graph of the acceleration of the particle is shown below.

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