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A particle moves with an initial v(0) an...

A particle moves with an initial `v_(0)` and retardation alphav, where v is its velocity at any time t.
(i) The particle will cover a total distance `v_(0)/alpha`.
(ii) The particle will come to rest after time `1/alpha`.
(iii) The particle will continue to move for a very long time.
(iv) The velocity of the particle will become `v_(0)/2` after time `(1n2)/alpha`

A

the aprticel will cover a total distance of `v_(0)//beta`

B

the particle will continue to move for a very long time

C

the particle will stop shortly

D

the velocity of particle will become `v_(0)//2` after time `1//beta`.

Text Solution

Verified by Experts

The correct Answer is:
A, B
`(i)V(dv)/(dx)-betaV (ii) a=-betaV`
`dv=-betax, (dv)/(dt)=-betaV`
`x=(v_(0))/beta, V=V_(0)e^(-betat)`
`V=(V_(0))/(e^(betat))` at `trarrooV=0`
`:. A & B ` are correct answer
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