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Derivativeshard
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A particle moves along a path such that x(t)=cos⁡(t)x(t) = \cos(t)x(t)=cos(t) and y(t)=sin⁡(t)y(t) = \sin(t)y(t)=sin(t). What is the acceleration vector a⃗(t)=(x′′(t),y′′(t))\vec{a}(t) = (x''(t), y''(t))a(t)=(x′′(t),y′′(t))?