Motion in a Straight Line - Result Question 6

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6. A bus travelling the first one third distance at a speed of $10 km / h$, the next one third at $20 km /$ $h$ and the last one-third at $60 km / h$. The average speed of the bus is

======= ####6. A bus travelling the first one third distance at a speed of $10 km / h$, the next one third at $20 km /$ $h$ and the last one-third at $60 km / h$. The average speed of the bus is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/motion-in-a-straight-line/motion-in-a-straight-line—result-question-6.md (a) $9 km / h$

(b) $16 km / h$

(c) $18 km / h$

(d) $48 km / h$

[1991]

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Answer:

Correct Answer: 6. (c)

Solution:

(c) Average speed $=\frac{s}{\frac{s / 3}{10}+\frac{s / 3}{20}+\frac{s / 3}{60}}$

$ =\frac{s}{s / 18}=18 km / h $

In case speed is continuously changing with time, then, $Vav=\frac{\int v d t}{\int d t}$