1.

The displacement of a particle after time 't' is given by x=(k)/(b^(2))(1-e^(-bt)) , where b is a constant. What is the acceleration of the particle

Answer»

`ke^(-bt)`
`-ke^(-bt)`
`(k)/(b^(2))e^(-bt)`
`(-k)/(b^(2))e^(-bt)`

SOLUTION :Velocity at the time of entering = `SQRT(2gh)`
`F_("NET")=d_(2)vg-d_(1)vg`
`a=((d_(2)-d_(1))vg)/(d_(1)v)`
`implies a=((d_(2)-d_(1))/(d_(1)))g`
`implies v_(F)=sqrt(2gh)-at`
`O=sqrt(2gh)-((d_(2)-d_(1))/(d_(1)))g timplies t=(sqrt(2gh))/(g)(d_(1))/((d_(2)-d_(1)))=sqrt((2H)/(g))((d_(1))/(d_(2)-d_(1)))`


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