Kinetic energy as a function of time

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Homework Help Overview

The discussion revolves around the calculation of kinetic energy as a function of time, involving concepts of acceleration, force, and integration to derive velocity.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of deriving velocity from acceleration by integrating, and there are requests for clarification on the original poster's calculations. Specific inquiries are made regarding the velocity at time t=0.

Discussion Status

The discussion has seen participants asking for details about the original poster's approach, indicating a collaborative effort to understand the calculations. The original poster acknowledges a mistake and indicates they have reached an answer.

Contextual Notes

There may be constraints related to matching answers with provided options, which could influence the discussion and the original poster's calculations.

Prabs3257
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Homework Statement
a particle of mass m is subjected to a force F=F°(cos(t)i+sin(t)j) if initially the particle was at rest the kinetic energy of the particle as a function of time is fgiven by
Relevant Equations
a=dv/dt
I got acceleration by dividing force by m then replaced a by dv/dt and then integrated it to get velocity as a fxn of time and hence got kinetic energy but problem is my ans does not match with any option can someone please compare their ans
 

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Can you show us what you did?
 
PeroK said:
Can you show us what you did?
 

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What velocity do you get at ##t=0##?
 
PeroK said:
What velocity do you get at ##t=0##?
Ya i got my mistake and got the ans thanks
 
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