Instructions: electronic devices are not permitted during the exam. Write your name, your instructor"s name, and your recitation number on the front of your bluebook. Start each problem on a new right-hand page. Justify your work clearly and box your nal answer. For t 0, determine the following quantities: (a) the speed of the spacecraft. (b) the vector. Hint: you do not actually need to nd the arc length s and your result may be written in terms of t. (c) the distance traveled by the spacecraft from time t = 0 to t = t . Hint: the integrand involves a perfect square. (d) the position of the spacecraft, r(t), if the initial position of the craft at time t = 0 was r(t = 0) = i + j + k. 3: (20 points) consider a coordinate system with z = 0 (the x-y plane) representing the ground, and the z-axis pointing up.
