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A particle is moving along the curve y=sqrt x. As the particle passes through the point (4,2), its x-coordinate increases at a rate of 3 cm/s. How fast is the distance from the particle to the origin changing at this instant?© BrainMass Inc. brainmass.com March 6, 2023, 1:27 pm ad1c9bdddf
The distance from the particle to the origin can be written into:
S=SQRT(x^2 + y^2) = SQRT(x^2 + x) since ...
This shows how to find the rate of change of distance from a particle to the origin.