Determine the rate at which the impact factor, created by the speed and hammer blows by the moving wheels of a train, changes when the train travels at speeds varying from $60Kmph$ to $150Kmph.$ Also plot a graph and determine the rate of growth of this factor for the speeds between $60Kmph$ to $100Kmph$ and also for the speeds varying between $100Kmph$ to $150Kmph$ with an increment of $10Kmph.$ Use the currently used formulae to compute the same. $($Ask for graph sheet$).$ Adjust the value to $3$ decimal places and use these values to compute the rate of change of impact factors for the speeds $60$ to $100Kmph$ and also for the speeds between $110$ to $150Kmph.$