In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A toy launcher shoots balls from ground level with an initial speed of 9 m s−1^{-1}−1.
The advertisement for the toy claims the balls can reach a maximum height of 4 metres above the ground.
Suppose the launcher shoots the balls vertically upwards. Verify the claim in the advertisement.
State two modelling assumptions you have made in verifying this claim.
In fact the launcher shoots the balls anywhere between 0° 0°\,0° and 12° 12°\,12° from the vertical. The range of maximum heights, h h\,h metres, above the ground which can be reached by the balls may be expressed as k≤h≤4.13k \le h \le 4.13k≤h≤4.13. Find the value of kkk.