Figure $1$: The $C^1$ parametrized curve $(t),atb,is$ traversed with nonzero speed $in$ the

direction $as$ shown above, looping $l$ once. $[Questions3-5]$

$(3)(See$ Figure $1)$ Let $T(t)be$ the unit tangent vector $to(t)at$ time $t.Ifp=(t_1)=(t_2)$

for $T(t_1)=T(t_2)T(t_1)*T(t_2)=1T(t^{*})=-T(t_1)v(t)(t)tp=(t_1)=(t_2)v(t_1)=v(t_2)\frac{dv}{dt}(t_1)=\frac{dv}{dt}(t_2)v$