Exercise
https://texercises.com/exercise/olympic-long-jumper/
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Exercise:
An Olympic long jumper is capable of jumping pq.m. Asing his horizontal speed pq. as he leaves the ground how long is he in the air and how high does he go? Ase that he lands standing upright -- that is the same way he left the ground.

Solution:
The air time is t fracs_xv_x fracpq.mpq. pq.s. Because of &mustbe -fracgt^+v_y t mathrmwe have v_y fracgt pq.. Therefore the jumper leaves the ground by an angle of alpha arctanleftfracv_yv_xright .grad. Now we can solve the for the maximum height it is h fracv_^gsin^alpha fracv_x^+v_y^gsin^alpha pq.m.
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\(\LaTeX\)-Code
Exercise:
An Olympic long jumper is capable of jumping pq.m. Asing his horizontal speed pq. as he leaves the ground how long is he in the air and how high does he go? Ase that he lands standing upright -- that is the same way he left the ground.

Solution:
The air time is t fracs_xv_x fracpq.mpq. pq.s. Because of &mustbe -fracgt^+v_y t mathrmwe have v_y fracgt pq.. Therefore the jumper leaves the ground by an angle of alpha arctanleftfracv_yv_xright .grad. Now we can solve the for the maximum height it is h fracv_^gsin^alpha fracv_x^+v_y^gsin^alpha pq.m.
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Attributes & Decorations
Branches
Kinematics
Tags
fall, free, jumper, kinematics, long, mechanics, physics, throw, trajectory
Content image
Difficulty
(3, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link