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Q.

A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t - t3. How long would the particle travel before coming to rest ?

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a

24m

b

40m

c

56 m

d

16 m

answer is D.

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Detailed Solution

v=dxdt=12−3t2=0⇒t=2s Distance travelled by particle before coming to rest = x (t = 2) - x (t = 0) = 16 m

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A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t - t3. How long would the particle travel before coming to rest ?