An express train is moving with a velocity 𝑣1. Its driver finds another train is moving on the same track in the same direction with velocity 𝑣2. To escape collision, driver applies a retardation 𝑎 on the train. The minimum time of escaping collision will be

Question : An express train is moving with a velocity 𝑣1. Its driver finds another train is moving on the same track in the same direction with velocity 𝑣2. To escape collision, driver applies a retardation 𝑎 on the train. The minimum time of escaping collision will be

(A) t=\dfrac{v_{1}-v_{2}}{a}

(B) t=\dfrac{v_{1}^{2}v_{2}^{2}}{2}

(C) none

(D) both

Answer : option (A)

Solution :

An express train is moving with a velocity 𝑣1. Its driver finds another train is moving on the same track in the same direction with velocity 𝑣2. To escape collision, driver applies a retardation 𝑎 on the train. The minimum time of escaping collision will be
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