Aamc cbt 11 #42

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AFLATPEG

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#42. What point does human riding in the centrifuge car experience the strongest sense of gravity?

Answer: C. because a=(v^2)/r

Easy question but I was thinking in a calculus-based mind set...
isn't the slope of the tangent line for a speed vs time equal acceleration, and the steepest slope would be the largest acceleration? Point A has the steepest (most positive) slope.

How can i differentiate these 2 to get towards the correct answer C?

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The slope of the line is the linear/tangential acceleration. The feeling for "weight" from this acceleration will be towards the side of the cart facing you (for the position depicted on the diagram). In general, it will be lower than the acceleration from the circular motion.
 
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