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VIAMC 2025 Mock Test — Level 6 (Senior) Question 24

VIAMC · VIAMC 2025 Mock Test — Level 6 (Senior)

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.

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