Tom is driving at 45mph to a grade crossing, and he is at 800ft from the grade crossing. There is no gate at this grade. Tom makes a decision to try to beat the upcoming train, which is at 1000ft from the crossing and moving at 40mph when Tom sees it. Suppose Tom consists of a reaction time of 0.6 seconds
i) Determine how far from the crossing will he be when he starts to accelerate?
ii) Tom's car accelerates at the rate of 28ft/sec^2, however it consists of a max speed of 85mph. Determine how fast will it be going when it arrives at the crossing?
iii) Determine how much time did Tom take to reach the grade crossing? Did he beat the train?