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1. Two trains are traveling in the -X direction. Train A is 50 m long and train B is 40 m long. Train A

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1. Two trains are traveling in the -X direction. Train A is 50 m long and train B is 40 m long. Train A is 200 m ahead of train B. Train B maintains a constant speed of 25 m/s, while train A initially has a speed of 15 m/s. In order to avoid being overtaken, train A is given an acceleration of magnitude 1 m/s. a) What is the distance of closest approach? b) If train A accelerates only at 0.2 m/s, how long will it take for train B to completely overtake train A? 2. An object is dropped from a height H above the ground. Due to the gravitational acceleration g, it reaches a speed of V m/s just before hitting the ground. Imagine now that at the same time that the object was dropped, another one was launched vertically up with speed V. a) What height would this second object reach? b) Where would the two objects move past one another?

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