A balloon is equipped with temperature and altitude measuring instruments and has radio equipment that carn transmit the output readings of these instruments back to ground. The balloon is initially anchored to the ground with the instrument output readings in steady state. The altitude- measuring instrument is approximately zero order and the temperature transducer first order with a time constant of 15 seconds. The temperature on the ground, To , is 10°C and the temperature Txat an altitude of x metres is given by the relation: Tx -To - 0.01x .If the balloon is released at time zero, and thereafter rises upwards at a velocity of 5 metres/second, draw a table showing the temperature and altitude measurements reported at intervals of 10 seconds over the first 50 second of travel. Show also in the table the error in each temperature reading.