1. Suppose that two interstellar objects (Object A and Object B) are both moving along the...

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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 t = 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 VA (in km/s) at time t (in seconds): VA(t): 24t +4 +32 if 0t2 - 3 t t 4 if 2 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 t = 3 seconds. 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 t = 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 VA (in km/s) at time t (in seconds): VA(t): 24t +4 +32 if 0t2 - 3 t t 4 if 2 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 t = 3 seconds.