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A particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is?
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A particle moving along x- axis has acceleration f at time t given by ...
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A particle moving along x- axis has acceleration f at time t given by ...
Acceleration and Velocity of a Particle Moving on x-axis


Given Information:



  • Particle moves along x-axis

  • Acceleration at time t is given by f = fo[1 t / T], where fo and t are constants

  • Particle has zero velocity at t=0



Finding Velocity:


To find the velocity of the particle at the instant when f=0, we need to integrate the acceleration function with respect to time to get the velocity function.

Integration of Acceleration:




Taking the integral of the above acceleration function with respect to time, we get:



Simplifying the above equation, we get:



When f=0:


To find the velocity of the particle when f=0, we need to determine the value of t when f=0.



Solving the above equation, we get:



Therefore, the time interval between t=0 and t=-T is:



Substituting the value of t in the velocity function, we get:



Simplifying the above equation, we get:



Therefore, the velocity of the particle at the instant when f=0 is -fo/2.

Conclusion:


The velocity of the particle at the instant when f=0 is -fo/2.
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A particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is?
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A particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is?.
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