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Question 5. Ada is learning differential geometry and has previously studied some physics. Upon learning about the Frenet frame, she says Aha! The Frenet frame allows me to put some physics together! When I accelerate, the component in the T direction contributes to increas- ing my speed; and the rest is my centripetal acceleration, which must be in the N direction. I learned in physics that centripetal accelera- tion is v2 /r. Here we write [13|| instead of v, and 1/r is like curvature k. So Till)T + 114||KN. Is Ada right? Explain why or why not, proving or disproving the above equation for an appropriate family of curves. (You may use any results or formulas from lectures or lecture notes. You only need to comment on the mathematical equation, not the physics.) Question 5. Ada is learning differential geometry and has previously studied some physics. Upon learning about the Frenet frame, she says Aha! The Frenet frame allows me to put some physics together! When I accelerate, the component in the T direction contributes to increas- ing my speed; and the rest is my centripetal acceleration, which must be in the N direction. I learned in physics that centripetal accelera- tion is v2 /r. Here we write [13|| instead of v, and 1/r is like curvature k. So Till)T + 114||KN. Is Ada right? Explain why or why not, proving or disproving the above equation for an appropriate family of curves. (You may use any results or formulas from lectures or lecture notes. You only need to comment on the mathematical equation, not the physics.)