1.-[math]r\left(t\right)=\left\langle5cos\left(2t\right),5sin\left(2t\right)\right\rangle.[/math][br][br][math]v\left(t\right)=r'\left(t\right)=\left\langle-10sin\left(2t\right),10cos\left(2t\right)\right\rangle[/math].[br][br][math]a\left(t\right)=r''\left(t\right)=\left\langle-20cos\left(2t\right),-20sin\left(2t\right)\right\rangle[/math].[br]

3.-[math]r\left(t\right)=\left\langle25t,-16t^2+15t+5\right\rangle.[/math][br][br][math]v\left(t\right)=r'\left(t\right)=\left\langle25,-32t+15\right\rangle[/math].[br][br][math]a\left(t\right)=r''\left(t\right)=\left\langle0,-32\right\rangle[/math]

5.-[math]r\left(t\right)=\left\langle4te^{-2t},\sqrt{t^2+1},\frac{t}{\left(t^2+1\right)}\right\rangle.[/math][br][br][br][math]v\left(t\right)=r'\left(t\right)=\left\langle4e^{-2t}-8te^{-2t},\frac{t}{\sqrt{t^2+1}},-\frac{t^2-1}{\left(t^2+1\right)^2}\right\rangle[/math][br][br][br][math]a\left(t\right)=r''\left(t\right)=\left\langle\left(16t-16\right)e^{-2t},\frac{1}{\left(t^2+1\right)^{\frac{3}{2}}},\frac{2t\left(t^2-3\right)}{\left(t^2+1\right)^3}\right\rangle[/math]