19 In this question use \(g = 9.8 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
A toy shoots balls upwards with an initial velocity of \(7 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
The advertisement for this toy claims the balls can reach a maximum height of 2.5 metres from the ground.
19
- Suppose that the toy shoots the balls vertically upwards.
19 - Verify the claim in the advertisement.
19
- (ii) State two modelling assumptions you have made in verifying this claim.
19 - In fact the toy shoots the balls anywhere between 0 and 11 degrees from the vertical.
The range of maximum heights, \(h\) metres, above the ground which can be reached by the balls may be expressed as
$$k < h \leq 2.5$$
Find the value of \(k\)