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Figure shows the speed versus time graph...

Figure shows the speed versus time graph for a particle. Find the distance travelled by the particle during the time t=0 to t=3s.

Text Solution

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The distance travelled by the particle in the time 0 to 3 s is equal to the area shaded in the ure.
This is a right angled triangle with height `=6m/s and the base =3s`. The area is `1/2` (base)(height)`= 1/2xx(3s)(6m/s)=9m`. Thus, particle covered a distance of 9 m during the time 0 to 3. .
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