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Asked by manoj255 | 12th Nov, 2010, 11:16: PM

Expert Answer:

Dear student
With acceleration being given in terms of sine function implies that it is sinusoidal, ie., varying with time & hence not constant. So the linear equations of motion cannot be used in such case.
 
However such a time varying acceleration correpsonds to simple harmonic motion.
To calculate an expression of velocity, the expression of acceration can be intgerated wrt dt within time limits of t =0 to time t = t. That would give an expression for velocity in terms of cosine function. Putting in max value of cos as 1, we can get the max value of velocity.
 
Similary further integerating the expression of velocity between the limits of t =0 & t=t, we get an expression of displacement in terms of sine function.
 
We hope that clarifies your doubt.
 
Regards
Team
TopperLearning

Answered by  | 13th Nov, 2010, 02:01: PM

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