A particle starts from the origin of coordinates at time 𝑡 = 0 and moves in the 𝑥 − 𝑦 plane with a constant acceleration α in the 𝑦-diretion. Its equation of motion is 𝑦 = β𝑥 2 . Its velocity component in the 𝑥- direction is

Question: A particle starts from the origin of coordinates at time 𝑡 = 0 and moves in the 𝑥 − 𝑦 plane with a constant acceleration α in the 𝑦-diretion. Its equation of motion is 𝑦 = β𝑥 2 . Its velocity component in the 𝑥- direction is

(A) Variable

(B) \sqrt{\dfrac{2a}{\beta }}

(C) \dfrac{a}{2\beta }

(D) \sqrt{\dfrac{a}{2\beta }}

Answer: option (D)

Solution:

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