Suppose a person is going up in a hot air balloon The surrou

Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees Fahrenheit decreases with height according to the formula T(h) = 8Oe-0.0O0O65h where h is the height in feet. How fast is the temperature decreasing when the person is at a height of 1000 ft and rising at a speed of 825 ft/hr? The temperature is decreasing at degrees / hour (Round to the nearest tenth as needed.)

Solution

dT/dh=-0.0052e^(-0.000065h) So dT/dh=-4.87 x 10^-3 So dT=4.02 degress/hr