本题目来源于试卷: IB MAI HL Functions Topic 2.4 Transformations，类别为 IB数学
[问答题]
A soccer ball is kicked from the ground such that its path can be modelled byl-s+,nk6mud6i 9a2uw /dz qbc th6 i2ak9 b+nulsm,d wq/d 6-zuc+nx6gn f7xo;b e functioxg 6+n; obx7fnn
$h(d)=d−\frac{d^2}{6}$
where ℎh is the height above ground level in meters, and d is the horizontal distance the ball travels, also in meters.
1.Find the distance travelled by the ball when it hits the ground.
2.Find the maximum height the ball reaches.
The soccer player now practices kicking the ball shorter, so that it travels half the vertical height and half the horizontal distance as the previous kick.
3.Determine the height function, ℎ2h2, that describes this new trajectory.
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