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The rate of acceleration due to gravity on Mars is approximately 3.8 m/s?. Air resistance is negligible You stand at the top of a cliff and drop a wrench. Using "up" as the positive direction, and with t = 0 corresponding to when you dropped the wrench, answer the following questions, paying attention to signs. (a) What is the velocity function of the wrench as it fails? v(t) = -3.8*t am's (b) What is the displacement function of the wrench, if your altitude when you stand at the top of the cliff is measured as 1,600 m by a GPS? s(t) = 1600 -1.9*^2 m (altitude) (c) If the wrench hits the ground at the bottom of the cliff with a speed of 15.2 m/s, what is the height of the cliff (that is, the difference in altitude between the top of the cliff and the ground)? h =