As shown in the figure below, April enters a race. She runs leftward 100\,\text m100m100, start text, m, end text to her horse, then she rides 500\,\text m500m500, start text, m, end text to her truck, then she drives 1000\,\text m1000m1000, start text, m, end text in a total time of 120\,\text s120s120, start text, s, end text.

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.