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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 ?

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Whenever a particle having two `bot` components of velocity then the path of projectile will be parabolic if particle is projects vertically upwards then the path of projectile will be straight.
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