The titanium shell of an sr-71 airplane would expand when flying at a speed exceeding 3 times the speed of sound. If the skin of the plane is 400 degrees c and the linear coefficient of expansion for titanium is 5x10 -6 /c when flying at 3 times the speed of sound, how much would a 10-meter long (originally at 0c) rod portion (1-dimension) of the airplane expand? write your final answer in centimeters and show all of your work.