InterviewSolution
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InterviewSolution
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The acceleration a of a particle starting from rest varies with time according to relation, `a=alphat+beta`. Find the velocity of the particle at time instant t. Strategy : `a=(dv)/(dt)` |
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Answer» Given that, `a=alphat+beta` `(dv)/(dt)=alphat+beta` `int_(0)^(v)dv=int_(0)^(t)(alphat+beta)dt=int_(0)^(t)alphatdt+int_(0)^(t)betadt` `(v)_(0)^(v)=alpha int_(0)^(t)tdt+beta int_(0)^(t)dt` `=alpha((t^(2))/(2))_(0)^(t)+beta(t)_(0)^(t)` `v=(alpha)/(2)t^(2)+betat` |
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