Statics and Dynamics Quiz
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A particle moves along a path described in Cartesian coordinates by y=x2y = x^2 (in meters). At the instant when x=1x = 1 m, the particle's speed is v=3v = 3 m/s and its speed is increasing at 4 m/s².
What is the magnitude of the total acceleration of the particle at this instant? (Recall that the radius of curvature for y=f(x)y = f(x) is ρ=(1+(y′)2)3/2∣y′′∣\rho = \frac{(1 + (y')^2)^{3/2}}{|y''|}.)
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