A catapult of pole length 9r throws a watermelon from one end of a pole which rotates about an axis at the other end with angular speed w. A smaller catapult of pole length r throws another watermelon from one end of a pole which rotates about an axis at the other end with the same angular speed w as the first catapult. How does the linear speed of the larger catapult's watermelon vlarge compare with the smaller catapult's watermelon vsmall?

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.