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Peggy is speeding on the freeway at 125 ft/ sec (about 85 mph). At the instant that she sees the CHP (this is t = 0), she hits the brake to slow down, decelerating at a constant rate. If s(t) represents the distance Peggy has traveled t seconds after she sees the CHP, then Peggy's motion over time can be described by: acceleration: 8"(t) = 5 f t/ set:z initial conditions: 8(0) = 0 ft and STD) = 125 ft/sec to) Determine the formula for Peggy's velocity function. (h) Determine when Peggy will reach the legal speed limit, 80 ft/ser: (Le, 55 mph] (c) If the CHP pulls her over, how long will it take for Peggy to stop? (:1) Determine the formula for Peggy's position function. (e) How far did Peggy travel before reaching a complete stop? (1') Use your work in parts (a) - (e) to fill in the table below, with units: time, t velocity (speed) position (distance) Peggy sees (HP Peggy at speed limit Peggy stops for CH