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Chapter 1: Q. 8 (page 29)

FIGURE EX2.8 shows the velocity graph for a particle having

initial position xo=0mat to=0s. At what time or times is the particle found atx=35m?

Short Answer

Expert verified

The particle will be found at x=35min two times6sand10s.

Step by step solution

01

Given information

A speed-time curve is given in this question. So the area under the curve determines the position of the particle within a certain interval of time.

02

Determination of time

The particle starts moving from xi=0,t=0.

Now, each of the square grid in the graph has a length of ,

l=5m/s2s=10m.

To cover x=35m, the particle has to move up to 3.5squares under the curve, as role="math" localid="1648750976474" 3.5脳10m=35m.

So considering time coordinate, 3.5number of squares are completed at t=6s.

If we consider the half portion of the square that cancels out between 6sand 8s, then to cover the same distance, the particle needs to move up to t=10s.

Hence the particle will be found atx=35mat times6sand10s.

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