Two balls are connected by a spring in space. The spring is initially compressed so that it holds 50 Joules of potential energy. The string snaps and releases all of this energy making the two balls move in opposite directions. The masses of the balls are 1kg and 2kg.

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)