Q.

A particle moves along a straight line such that its position at any time 't' is given by x=6+6t3t2m. Its average speed and average velocity in the time interval t = 0 s and t = 2s are respectively (in ms-1)

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a

0, 0

b

3, 0

c

3, 3

d

6, 6

answer is D.

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Detailed Solution

x = 6 + 6t − 3t2 

at t = 0, x = 6m
at t = 1s, x = 9m
 and at t = 2, x = 6m
from t = 0 to t = 2s, displacement = 0
distance = 6 m

So the average speed=3m/s

average velocity=0

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