A particle moves with an initial velocity `V_(0)` and retardation `alpha v` , where `alpha` is a constant and v is the velocity at any time t. Velocity of particle at time is :A. `v = alpha t^(2)`B. `v = V_(0) - alpha t`C. `v = (V_(0))/(ln alpha t)`D. `v = V_(0)e^(-alpha t)`

A particle moves with an initial velocity `V_(0)` and retardation `alp

1.	A particle moves with an initial velocity `V_(0)` and retardation `alpha v` , where `alpha` is a constant and v is the velocity at any time t. Velocity of particle at time is :A. `v = alpha t^(2)`B. `v = V_(0) - alpha t`C. `v = (V_(0))/(ln alpha t)`D. `v = V_(0)e^(-alpha t)`
Answer» Correct Answer - B Velocity of ………….. `(dv)/(dt) = -alpha v` `overset(v)underset(v_(0))int (dv)/(v) = -alpha overset(t)underset(0)int dt` `\|l nv\|_(v_(0)^(v)= -alpha\|t\|_(0)^(t)` In `(V)/(V_(0))= - alpha t` `V = V = V_(0)e^(-alpha t)`

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A particle moves with an initial velocity `V_(0)` and retardation `alpha v` , where `alpha` is a constant and v is the velocity at any time t. Velocity of particle at time is :A. `v = alpha t^(2)`B. `v = V_(0) - alpha t`C. `v = (V_(0))/(ln alpha t)`D. `v = V_(0)e^(-alpha t)`

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