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A point moves rectilinearly with deceleration whose modulus depends on the velocity 'v' of the particle as a =-k√v where k is a constant, k > 0. At the initial moment the velocity of the particle is 'v 0 '. What distance it will traverse before it stops? What time it will take to cover that distance?
Dear student,a=-k√vdv/dt=-k√vdv/√v=-kdtNow integrate both sides to get velocity as a function of time.Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.All the best.Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar respectively : Click here to download the toolbar..Askiitians ExpertSagar SinghB.Tech, IIT Delhi
but y do we differentiate and itegrate here??y does the answer not come correctly if i use the equations of motion here
it is because the retardation is not constant and equations of motion work only for constanr acc.
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