2 consider the curve parameterized by the equations leftmathbfvleftlan

Question

2) Consider the curve parameterized by the equations \left.\mathbf{v}=\left\langle\sin \left(\pi t^{2}\right), \cos \left(\pi t^{2}\right)\right)\right\rangle a) What is the distance between this curve's starting point and ending point, for the interval 0 \leq t \leq \frac{1}{2} ? b) What is the length of this curve, for 0 <=t <= 1/2 ? c) What is the distance between this curve's starting point and ending point, for the interval 0<=t<=1? d) What is the length of this curve, for 0<= t <= 1?