3. (30 pts total) Suppose that an automobile has the ability to accelerate from rest to a velocity of 100.0 mi/h in a time of 6.00 s. a. (15 pts) Assuming the acceleration is a constant, determine the automobile's acceleration using an appropriate equation of kinematics. Express your answer in units of m/s. Follow all the steps of solving a physics problem, including setting up a coordinate system, labeling it with necessary variables, and solving the problem fully algebraically before substituting values. Do any necessary unit conversions using the chain-link conversion method. Make use of only the conversion relations 1 h = 60 min, 1 min = 60 s, 1 km = 0.621371 mi and your knowledge of metric prefixes. b. (15 pts) Calculate what the displacement of the automobile would be if it starts from rest and travels for only 3.00 seconds. Assume the acceleration is the same as in part a. Express your answer for the displacement in units of meters.