Automobiles Engineers design automobiles with crumple

Chapter , Problem 5.4.85

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Automobiles Engineers design automobiles with crumple zones that help protect their occupants in crashes. The crumple zones allow the occupants to move short distances when the automobiles come to abrupt stops. The greater the distance moved, the fewer gs the crash victims experience. (One g is equal to the acceleration due to gravity.) In crash tests with vehicles moving at 90 kilometers per hour, analysts measured the numbers of gs experienced during deceleration by crash dummies that were permitted to move meters during impact. The table shows the data. A model for the data is given by where is the number of gs. (a) Complete the table using the model. (b) Use a graphing utility to graph the data points and the model in the same viewing window. How do they compare?(c) Use the model to estimate the distance traveled duringimpact, assuming that the passenger decelerationmust not exceed 30 gs.(d) Do you think it is practical to lower the number ofgs experienced during impact to fewer than 23?Explain your reasoning