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Derive an equation for centripetal acceleration starting with a particle moving with constant speed in a circle of radius r. In the space provided utilize vector calculus to derive this expression in detail. In addition, apply Newton's 2nd law to this particle to show that the magnitude of the net force responsible for the motion is given by the following equation. This net force, which is the sum of the forces acting, is called the centripetal force. Be sure to include a detailed diagram in your derivation. F(centripetal)=((-m(v)^2)/r)(cos(theta)i+sin(theta)j) [where i and j are the directions]

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