newton's law of cooling

A roast turkey is taken from an oven when its temperature has reached 185° F and Is placed on a table in a room where the thermostat reads 75° F. If the temperature of the turkey is 150° F after half an hour, how much time will it take the turkey to cool to 100 °F ? Assume the turkey cools according to Newton's Law of Cooling: The temperature of an object will change at a rate proportional to the difference of the temperature of the object and the temperature of the surrounding medium. a) Determine the Initial Value Problem: include the differential equation, and initial conditions. b) Solve the Differential Equation for the general solution. c) Determine the Particular Solution by finding the exact value for the constant of proportionality and the initial value. Credit will not be ations d) Answer the the question: If the temperature of the turkey is 150° F after half an hour, how much time will it take the turkey to cool to 100 °F?

A glacier advanced down a mountain from an elevation of 3000 m to 2000 m in 5 years. What was the glaciers rate of change in a year and a month?

A body cools from 60°C to 50°C in 15 mins in air which is maintained at 30°C. How long will it take this body to cool from 100°C to 80°C in air that is maintained at 50°C.