Solve the all parts of following problem given below:
Problem: Two trains (1 and 2), each having a speed u are initially (i.e. t = 0) a distance d apart and are headed towards each other on the same track. A bird that can fly at a speed v (where v > u) flies from the front of train 1 directly towards train 2, On reaching train 2, the bird turns around and immediately flies back to train 1, and so forth. The goal of this problem is to calculate the total distance the bird flies before the train's crash into each other.
Part I: Calculate the time at which the trains crash?
Part II: Calculate the total distance the bird flies before the train's crash?
Part III: Sketch the position of the two trains and of the bird as a function of time?
Please help for the above problem, completely confused!! Show each steps if possible, Thanks.