Motion in a Straight Line - Result Question 29

30. A particle moves along a straight line such that its displacement at any time t is given by s=(t36t2+3t+4) metres

The velocity when the acceleration is zero is

(a) 3ms1

(b) 12ms1

(c) 42ms2

(d) 9ms1

[1994]

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Answer:

Correct Answer: 30. (d)

Solution:

(d) Velocity, v=dsdt=3t212t+3

Acceleration, a=dvdt=6t12; For a=0, we have, 0=6t12 or t=2s. Hence, at t=2s the velocity will be

v=3×2212×2+3=9ms1



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