The driver of an express train moving with a velocity 𝑣1 finds that a goods train is moving with a velocity 𝑣2 in the same direction on the same track. He applies the brakes and produces a retardation 𝑎. The minimum time required to avoid collision is

Question : The driver of an express train moving with a velocity 𝑣1 finds that a goods train is moving with a velocity 𝑣2 in the same direction on the same track. He applies the brakes and produces a retardation 𝑎. The minimum time required to avoid collision is

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

(B) \dfrac{v_{1}}{a}

(C) \dfrac{v_{1}}{a}

(D) \dfrac{v_{1}+v_{2}}{a}

Answer : option (A)

Solution :

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