A particle moves along a straight line OX. At a time (in second) the distance x (in metre) of the particle from "O' is given by : x=40+12t-t^(3) How long particle travels before coming to rest ?

A particle moves along a straight line OX. At a time (in second) the d

1.	A particle moves along a straight line OX. At a time (in second) the distance x (in metre) of the particle from "O' is given by : x=40+12t-t^(3) How long particle travels before coming to rest ?
Answer» 16 m 21 m 40 m 56 m Solution :Here `x=40+12t-t^(3)` `v=(dx)/(DT)=12-3t^(2)` For `v=0,3t^(2)`=12 or `t=2s` `:.x=40+12xx2-(2)^(3)` 64-8=56 m.

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A particle moves along a straight line OX. At a time (in second) the distance x (in metre) of the particle from "O' is given by : x=40+12t-t^(3) How long particle travels before coming to rest ?

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