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If the position of a particle along Y axis is represented as a funtion of time t by the equation `y(t)=t^(3)` then find displacement of the particle during the period t to `t+Deltat` |
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Answer» Position at time t is `y(t)=t^(3)` Position at time `t+Delta t` is `y(t+Deltat)=(t+Deltat)^(3)` `:.` displacement of the particle from to `t+Delta t` is `y(t+Delta)-y(t)=(t+Deltat)^(3)-t^(3)` `=t^(3)+3t^(2)Deltat+3t(Deltat)^(2)+(Deltat)^(3)-t^(3)` `=3t^(2)Deltat+3t(Deltat)^(2)+(Deltat)^(3)` |
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