2. 1. The car moves in a straight line such that for a short time its velocity is defined by v (312+2t) ft/s, where t is in seconds. Determine its position and acceleration when 3 s. When = 0, s = 0. a, v (ans: s=36) During a test a rocket travels upward at 75 m/s, and when it is 40 m from the ground its engine fails. Determine the maximum height sp reached by the rocket and its speed just before it hits the ground. While in motion the rocket is subjected to a constant downward acceleration of 9.81 m/s² due to gravity. Neglect the effect of air resistance. A 75 m/s SA-40 m - V8=0 B 3. A router starts from s=0 at t=0 with an initial velocity of 2 in/s to the right. Given a = -0.4v in/s² (where v is in/s), determine the position and velocity at t = 3s. (ans: v=602 m/s)