Question 24
A student performs a long jump. Origin $O$ is at the take-off point; $Ox$ follows the run, $Oy$ is described as perpendicular to the stadium width, and $Oz$ points upward. The student starts at $I(2;0;0)$ and follows $x(t)=2+6t$, $y(t)=0$, $z(t)=-5t^2+10t$, for $t\ge0$. A horizontal bar is at $x=10$ m and height 4.2 m. When the student reaches $x=10$, find student height minus bar height, rounded to two decimal places.
The following source mathematical images preserve the printed option/formula/figure variants; text and choices above or below provide clean typesetting.


The following source mathematical images preserve the printed option/formula/figure variants; text and choices above or below provide clean typesetting.

