An airplane takes off from an airport at sea level and climbs at the constant rate of 5m/s . The outside air temperature T varies with altitude h according to the law T=15-0.0065h where T is measured in degree Celsius and h in meters above sea level . Find the rate of change of T with respect to time .

Answer 1

dT/dt = -.0065 dh/dt

so plug in you number for dh/dt

Answer 2

An airplane takes off and climbs at a constant rate of 1400 feet per minute.
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​Write an equation to model the relationship between the plane’s altitude, a, and the time in minutes, t.