Numerical Methods

A scientist is monitoring the volume of a gas in a controlled chamber.

Exactly 2 minutes after the start of the experiment, the volume of the gas was $m33\text{ m}^3$ .

Exactly 4 minutes after the start of the experiment, the volume of the gas was $m34\text{ m}^3$ .

Given that the volume, $m3V\text{ m}^3$ , of the gas, $t$ minutes after the start of the experiment, can be modelled by the equation

V^2 = pt^2 + q

where $p$ and $q$ are constants,

find, to 3 significant figures where necessary, the value of $p$ and the value of $q$ .

[4]

Exactly $T$ minutes after the start of the experiment, the volume of the gas was $m310\text{ m}^3$ .

Find the value of $T$ according to the model, giving your answer to one decimal place.

[3]

Numerical Methods Questions