A particle moving in a straight line and passes through a point 𝑂 with a velocity of 6𝑚𝑠−1 .The particle moves with a constant retardation of 2𝑚𝑠 −2 for 4 𝑠 and there after moves with a constant velocity. How long after leaving 𝑂 does the particle return to 𝑂

Question : A particle moving in a straight line and passes through a point 𝑂 with a velocity of 6𝑚𝑠−1 .The particle moves with a constant retardation of 2𝑚𝑠 −2 for 4 𝑠 and there after moves with a constant velocity. How long after leaving 𝑂 does the particle return to 𝑂

(A) 3𝑠

(B) 8𝑠

(C) 6 𝑚

(D) 8 𝑚

Answer : option (B)

Solution :

 A particle moving in a straight line and passes through a point 𝑂 with a velocity of 6𝑚𝑠−1 .The particle moves with a constant retardation of 2𝑚𝑠 −2 for 4 𝑠 and there after moves with a constant velocity. How long after leaving 𝑂 does the particle return to 𝑂
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