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5.8. The Charpy test (10) provides material toughness data under dynamic conditions. In this test, which is helpful in comparing several materials and in determining low-temperature brittleness and impact strength, the specimen is struck by a pendulum released from a fixed height and the energy absorbed by the specimen, termed the impact value, computed from the height of the swing after fracture. The following table gives the impact value, V, as a function of temperature, T, for a certain material. Using the Gregory-Newton method, derive an interpolating polynomial and estimate V for T = -25 deg F and -75 deg F. T (deg F)-200 -150 -100 -50 0 V (ft-lbs) 1.5 3 10 35 Check your results against functions obtained with MATLAB splines. Present these com- parisons as MATLAB plots with proper labels and titles. 5.8. The Charpy test (10) provides material toughness data under dynamic conditions. In this test, which is helpful in comparing several materials and in determining low-temperature brittleness and impact strength, the specimen is struck by a pendulum released from a fixed height and the energy absorbed by the specimen, termed the impact value, computed from the height of the swing after fracture. The following table gives the impact value, V, as a function of temperature, T, for a certain material. Using the Gregory-Newton method, derive an interpolating polynomial and estimate V for T = -25 deg F and -75 deg F. T (deg F)-200 -150 -100 -50 0 V (ft-lbs) 1.5 3 10 35 Check your results against functions obtained with MATLAB splines. Present these com- parisons as MATLAB plots with proper labels and titles