Processes

Here are descriptions of nine real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like.

You do not need to calculate or plot exact points, just sketch graphs that give the general shape.

As you produce your sketches, make a list of the features that you are considering.

Number of rapidly dividing bacteria present in a food-limited environment, starting from a small initial sample.

Concentration in the blood of a drug following an injection.

Angle of oscillation of a real pendulum of length \(1\) metre in air.

Volume (in litres) against pressure (in atmospheres) for \(1\) mole of an ideal gas at \(0^{\circ}\text{C}\).

Vertical distance travelled by a small, heavy ball dropped from a plane.

Rate of reaction of a catalysed reaction in terms of the concentration of reagent.

Number of rapidly dividing bacteria present in a food-rich environment, starting from a small initial sample.

Hours of daylight per day in a town in the far northern hemisphere.

Model of the distance of the Earth from the Sun in astronomical units.