Why does the rate of temperature change does not stay constant over time

If you graph the heat added to a system versus the system's temperature, the graph usually slopes upward; adding heat increases temperature.

The rate of temperature changes and doesn't stay constant over time becasue the temperature T(t) is not a linear function of time. This means that if the object is initially at 10 degrees and the atmosphere is at 30 degrees, then time taken to increase from 10 to 12 degrees will be different to the time taken to increase temperature from 12 to 14 degrees and so on.

question: ray weighs 100 kilograms, his wrestling partner, bobby, weighs 50 kilograms. if ray moves at 4 m s , how fast will bobby have to run at him to apply an equal amount of kinetic energy?

answer: 8 m/s he needs to run twice as fast to keep up so he has some work to do

explanation:   if the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

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(jacemorris04)