Question

The speed-time graph of a particle moving along a fixed direction is shown in fig. Obtain the distance traversed by the particle between

  • Force and Motion
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Answer

Question

The speed-time graph of a particle moving along a fixed direction is shown in fig. Obtain the distance traversed by the particle between (a) t = 0 s to 10 s, (b) t = 2 s to 6 s. What is the average speed of the particle over the intervals in (a) and (b)?

The speed-time graph of a particle moving along a fixed direction is shown in fig

[Ans. : (a) 60 m, 6 m/s, (b) 24 m, 6 m/s.]

Solution

(a) t = 0 s to 10 s

Distance = Area under the graph

= 1\over 2 × 10 ×12

= 5 × 12 = 60 m

Average speed = total\ distance\over time

= 60\over 10

= 6 m/s

(b) beyond the scope (Should not be in class 9)

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