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A particle moves along a straight line O...

A particle moves along a straight line `OX`. At a time `t` (in seconds) the distance `x` (in metre) of the particle is given by `x = 40 +12 t - t^3`. How long would the particle travel before coming to rest ?

A

24 m

B

40 m

C

56 m

D

16 m

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A particle moves along a straight line AB. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 600 + 12t – t^3 . How long would the particle travel before coming to rest: -

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