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8. [2.2/4 Points] If we drop a rock near the surface of Earth, physics tells us that the distance in feet that it falls is given by 16t2, where t is the number of seconds since the rock was dropped. Is the distance a rock fails a linear function of the time since it was dropped? Explain your reasoning. Suggestion: Compare the distance fallen over the rst second to that fallen over the next second. A Yes, comparing the distance the rock falls each second, the distance grows by a constant number of feet each second. o No, comparing the distance the rock fall each second, the distance does not grow by a constant number of feet each second. Identify the growth rate and initial value. (If an answer does not exist, enter DNE.) Growth rate 16t feet per second Initial value 0 feet Using t for the number of seconds since the rock was dropped and D for the distance in feet that it falls, find a formula for D as a linear function of t. (If an answer does not exist, enter DNE.) D= DNE ' unk