Home
Class 12
PHYSICS
A particle moving in the positive x-dire...

A particle moving in the positive x-direction has initial velocity `v_(0)`. The particle undergoes retardation `kv^(2)` , where vis its instantaneous velocity. The velocity of the particle as a function of time is given by:

A

`v= v_(0) //( 1+ kv_(0) t)`

B

`v= ( 2v_(0))/(1+kt)`

C

`v = ( v_(0))/(kt)`

D

`v = (v_(0))/((1+k^(2) v_(0^(2) t)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    FIITJEE|Exercise SECTION (II) : (SUBJECTIVE )|33 Videos
  • KINEMATICS

    FIITJEE|Exercise SECTION(II) : MCQ ( SINGLE CORRECT)|47 Videos
  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|3 Videos
  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos
  • LAWS OF MOTION

    FIITJEE|Exercise COMPREHENSION-III|2 Videos

Similar Questions

Explore conceptually related problems

A particle moves with an initial velocity v_(0) and retardation alphav, where alpha is a constant and v is the velocity at any time t. If the particle is at the origin at t=0 , find (a) (i) velocity as a function of time t. (ii) After how much time the particle stops? (iii) After how much time velocity decreases by 50% ? (b) (i) Velocity as a function of displacement s. (ii) The maximum distance covered by the particle. (c ) Displacement as a function of time t.

A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. How long the particle will take to reduce its speed to half of its initial value?

Knowledge Check

  • 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 intial velocity v_(0) and retardation alphav , where v is its velocity at any time t.

    A
    The particle will cover a total distance `v_(0)//alpha`
    B
    The particle will come to rest after a time `1//alpha`
    C
    The particle will continue to move for a very long time
    D
    The velocity of the particle will become `v_(0)//2` after a time `1//alpha`
  • A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. How long the particle will take to come to rest.

    A
    `("in"2)/(alpha)`
    B
    `alpha` In 2
    C
    `(1)/(alpha)`
    D
    infinite
  • Similar Questions

    Explore conceptually related problems

    A particle moves with initial velocity v_(0) and retardation alphav , where v is velocity at any instant t. Then the particle

    A particle moves with an initial velocity v_(0) and retardation alpha v , where v is the velocity at any time t.

    A particle starts moving in a straight line with initial velocity v_(0) Applied forces cases a retardation of av, where v is magnitude of instantaneous velocity and alpha is a constant. Total distance covered by the particle is

    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. After how much time, speed of particle decreases by 75%

    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. total distance covered by the particle is