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A particle moves in a plane with velocity such that  The time dependence of the magnitude of the velocity  = 5t. It is given that r = 1 ,θ =0 and v r > 0 at t = 0. (In the following, you may use e3 ≈ 20.) At what time (in sec.) will θ become 4 radian?
Correct answer is '3055'. Can you explain this answer?
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A particle moves in a plane with velocity such that The time dependenc...

where c is arbitrary constant which can be evaluated by using initial condition 
r = 1 at 9 = θ ⇒ c = 1
 Equation of trajectory r(θ)
Magnitude of velocity  = 5t

Integrating

where c is arbitrary constant which can be evaluated using initial condition
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A particle moves in a plane with velocity such that The time dependence of the magnitude of the velocity = 5t. It is given that r = 1 ,θ=0 and vr > 0 at t = 0. (In the following, you may use e3 ≈20.) At what time (in sec.) will θ become 4 radian?Correct answer is '3055'. Can you explain this answer?
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A particle moves in a plane with velocity such that The time dependence of the magnitude of the velocity = 5t. It is given that r = 1 ,θ=0 and vr > 0 at t = 0. (In the following, you may use e3 ≈20.) At what time (in sec.) will θ become 4 radian?Correct answer is '3055'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle moves in a plane with velocity such that The time dependence of the magnitude of the velocity = 5t. It is given that r = 1 ,θ=0 and vr > 0 at t = 0. (In the following, you may use e3 ≈20.) At what time (in sec.) will θ become 4 radian?Correct answer is '3055'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a plane with velocity such that The time dependence of the magnitude of the velocity = 5t. It is given that r = 1 ,θ=0 and vr > 0 at t = 0. (In the following, you may use e3 ≈20.) At what time (in sec.) will θ become 4 radian?Correct answer is '3055'. Can you explain this answer?.
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