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The automobile has speed of 60 ft/s at point A and an acceleration having a magnitude of 10 ft/s^2, acting in the direction shown. Determine the radius of curvature of the path at point A. Determine the tangential component of acceleration.

The automobile has speed of 60 ft/s at point A and an acceleration having a magnitude of 10 ft/s^2, acting in the direction shown. Determine the radius of curvature of the path at point A. Determine the tangential component of acceleration.