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If position vector is given by  a sin ωt + a cosωt then the kinetic energy of the body is
  • a)
    Increasing with time
  • b)
    Decreasing with time
  • c)
    Constant with time
  • d)
    First increases and decreases with time
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If position vector is given by a sin ωt + a cosωt then the...
Ans:- c
If we differentiate the position vector it gives us the velocity vector. When we find its dot product with the position vector it turns out to be zero, this means velocity is perpendicular to displacement. When we differentiate velocity vector we get acceleration which again comes out to be perpendicular to velocity. The force being perpendicular to velocity will not do any work so the KE is constant
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If position vector is given by a sin ωt + a cosωt then the kinetic energy of the body isa)Increasing with timeb)Decreasing with timec)Constant with timed)First increases and decreases with timeCorrect answer is option 'C'. Can you explain this answer?
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