A radius vector of a particle varies with time t as r=at(1−αt), where a is a constant vector and α is a positive constant. Find the time interval Δt taken by the particle to return to the initial points.
A
Δt=3α
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B
Δt=12α
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C
Δt=2α
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D
Δt=1α
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Solution
The correct option is DΔt=1α Put t=0⟹r=0 is the initial position in the given equation r=at(1−αt)=0⇒t=0ort=1α