In this question use g=9.8 m s−2g = 9.8 \text{ m s}^{-2}g=9.8 m s−2.
A mechanical launcher fires small pellets upwards with an initial speed of 8.4 m s−18.4 \text{ m s}^{-1}8.4 m s−1.
The technical specifications for this launcher claim that the pellets can reach a maximum height of 3.63.63.6 metres above the release point.
Suppose that the launcher fires the pellets vertically upwards.
Verify the claim in the technical specifications.
State two modelling assumptions you have made in verifying this claim.
In practice, the launcher may fire pellets at an angle of up to 15∘15^{\circ}15∘ from the vertical.
The range of maximum heights, hhh metres, above the release point which can be reached by the pellets may be expressed as
k≤h≤3.6 k \le h \le 3.6 k≤h≤3.6Find the value of kkk, giving your answer to two significant figures.