A meteorologist models the height of a hot air balloon launched from the ground. The model assumes the balloon travels vertically upwards and travels 450 metres in the first minute. Due to the decrease in temperature as the balloon rises, the balloon will continually slow down. The model suggests that each minute the balloon will travel only 82% of the distance travelled in the previous minute.

recognition of geometric sequence eg $r=0.82$

$S_{10}=\frac{450\left(1-0.82^{10}\right)}{1-0.82}$ $=2160$ m $(2156.37\ldots)$

$S_{\infty}=\frac{450}{1-0.82}$ $=2500<2520$ so the balloon will not reach the required height.

horizontal motion not taken into account, rate of cooling will not likely be linear, balloon is considered a point mass / size of balloon not considered, effects of wind/weather unlikely to be consistent, a discrete model has been used, whereas a continuous one may offer greater accuracy

Note: Accept any other sensible answer.