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 balls are modelled as particles and air resistance is modelled as negligible.
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 limitations of this model.
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.