If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is v = mg c (1 − e−ct/m) where g is the acceleration due to gravity and c is a positive constant describing air resistance. (a) calculate lim t→∞ v. what is the meaning of this limit? it is the speed the object approaches as time goes on. it is the time it takes for the object to stop. it is the time it takes the object to reach its maximum speed. it is the speed the object reaches before it starts to slow down. (b) for fixed t, use l'hospital's rule to calculate lim c→0+ v. what can you conclude about the velocity of a falling object in a vacuum? the heavier the object is the faster it will fall in a vacuum. an object falling in a vacuum will accelerate at a slower rate than an object not in a vacuum. the velocity of a falling object in a vacuum is directly proportional to the amount of time it falls. the velocity of a falling object is proportional to its mass in a vacuum.

1-10. need . physics. circular motion. 35 points

When temperature of a substance increases, of its particles increase resulting in more between particles. real world applications of thermal expansion absolute zero (-273 degrees c) is the lowest possible temperature on the kelvin scale. it is a measure of where a substance has no kinetic energy. heat is a process of the . energy flows spontaneously from a object to a until equilibrium is reached. heat is measured in heat is transferred throughis a method of heat transfer that occurs between particles of matter that are in direct contact with each other. are poor conductors that impede / reduce the rate of heat transfer. is a method of heat transfer that occurs in fluids (non-solids) by means of currents. real world application of convectiona method of heat transfer through electromagnetic waves. when energy moves from one object to another inside a closed system, no energy is or in the system in the transaction. systems will spontaneously move to a state of organized energy or high disorder over time called

Explain what it means to view something from a frame of reference. provide an example that illustrates your explanation. (4 points)