A particle crossing the origin of co-ordinates at time 𝑡 = 0, moves in the 𝑥𝑦 −plane with a constant acceleration 𝑎 in the 𝑦 − direction. If its equation of motion is 𝑦 = 𝑏𝑥2 (𝑏 is a constant), its velocity component in the 𝑥 −direction is

April 15, 2022

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Physics Problems

Question : A particle crossing the origin of co-ordinates at time 𝑡 = 0, moves in the 𝑥𝑦 −plane with a constant acceleration 𝑎 in the 𝑦 − direction. If its equation of motion is 𝑦 = 𝑏𝑥2 (𝑏 is a constant), its velocity component in the 𝑥 −direction is

(A) $\sqrt{\dfrac{2b}{a}}$

(B) $\sqrt{\dfrac{a}{2b}}$

(D) $\sqrt{\dfrac{b}{a}}$

Answer : option (B)

Solution :