# A particle moves in the x-y plane with a y-component of velocity…

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**Question:**

A particle moves in the x-y plane with a y-component of velocity in feet per second given by vy = 8t with t in seconds. The acceleration of the particle in the x-direction in feet per second squared is given by ax = 4t with t in seconds. When t = 0, y = 2 ft, x = 0, and vx = 0. Find the equation of the path of the particle and calculate the magnitude of the velocity v of the particle for the instant when its x-coordinate reaches 18 ft.

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