Acar traveling at 15 m/s passes a police car. at that instant, the police car accelerates at a constant rate of 3 m/s^6 in pursuit. we wish to find how much time elapses before the officer catches the car. a. choose a coordinate system for this problem and identify the initial states starting when the car passes the police. b. define the final state or conditions which enables you to answer the above question. c. to solve this problem identify the two equations (one for each vehicle) which satisfy part b. solve for the unknown time.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

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City b is south of city a, and the 200 mile trip by car takes 4 hours. the cities are 120 miles apart in a straight line. what is the velocity of a trip from city a to city b?