Question

3. For the following scenarios, sketch graphs showing the relationship between the quantitiesspecified. By “sketch", I mean draw a graph with labeled axes showing what physical quantitiesthe variables represent and the general shape of a graph showing their relationship.(a) A pendulum swings back and forth. Model the horizontal position of the pendulum as afunction of time.(4 points)(b) A patient ingests a medica the form of a pill. Every hour, half of the remainingmedication in her system is metabolized. Model the amount of remaining medication inher system over time over several hours.(3 points)(c) My cat is currently attacking my feet 3 times per minute. No matter how many timesI tell my cat to stop attacking my feet, he does not change this behavior. Model thenumber of cat attacks my feet suffer as a function of times I tell him to stop. (3 points)

Answer 1

(a)Given a pendulum bob swings back and forth,

The graph of the horizontal position versus time is shown below

The vertical axis represents the horizontal position f(t)