On an icy day, a police officer was using his radar gun to catch speeding cars when he witnessed a rear-end collision. The officer drew a diagram of the accident in his police report and a reproduction of it is shown below. In the diagram, each car is represented by a box with the appropriate letter labeled and Car C represents the police officer. There is also some data that has been collected by a team of lawyers hired by the driver of car A. The driver of car A claims that he was not speeding at the time of the collision. Based on the evidence, write a scientific explanation that determines whether or not Car A was speeding when it collided with Car B.

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An airplane flies eastward and always accelerates at a constant rate. at one position along its path it has a velocity of 34.3 m/s, it then flies a further distance of 40100 m and afterwards its velocity is 47.5 m/s. find the airplane\'s acceleration and calculate how much time elapses while the airplane covers those 40100 m.

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Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.