Assignment 4 problems: 1. Suppose that two interstellar objects (Object A and Object B) are both moving along the same straight line and in the same direction but at different speeds. At time = 2, the two objects collide, which results in a drastic change in velocity, although both objects continue to move in along the same straight line after the collision. For Object A, we have the following information about its velocity function v4 (in km/s) at time (in seconds): 24t t4+ 32 if 0 va(t) for t > 2. (a) (1 mark) Shortly after the collision, was Object A moving in a positive direction or negative direction? Explain how you can tell from the given information. (b) (4 marks) Determine the distance between Object A and Object B at time = 3 seconds. 3. (3 marks) A separate interstellar object, Spaceship X, moves independently of Objects A and B. Spaceship X moves in such a way that its acceleration is proportional to its velocity, v(t), at time . Suppose that v(0) = 1.4 km/s and v(5) = 17.05 km/s. How fast is Spaceship X moving at time t = 87