Exercise
https://texercises.com/exercise/pedestrian-and-cyclist/
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The following quantities appear in the problem: Zeit \(t\) / Geschwindigkeit \(v\) / Strecke \(s\) /
The following formulas must be used to solve the exercise: \(s = vt \quad \)
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Exercise:
From the pos mathcalP and mathcalC which are sO apart a pedestrian and a cyclist start moving towards each other at the same time. Their velocities are vpO and vcO respectively. How far from mathcalP do they meet?

Solution:
Geg s sO s v_ vp v_ vc GesDistance from mathcalPs_ sim Because both are moving they come closer to each other with SolQtyvvpX+vcX v v_ + v_ vp + vc v. With this velocity they have to cover sO distance what takes them SolQtytsX/vXs t fracsv fracsv_ + v_ fracsv t. During this time the pedestrian moves SolQtyspvpX*tXm s_ v_ t v_ fracsv_+v_ fracv_ sv_+v_ vp t sp approx spS spP. s_ s fracv_v_+v_ spS spP
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\(\LaTeX\)-Code
Exercise:
From the pos mathcalP and mathcalC which are sO apart a pedestrian and a cyclist start moving towards each other at the same time. Their velocities are vpO and vcO respectively. How far from mathcalP do they meet?

Solution:
Geg s sO s v_ vp v_ vc GesDistance from mathcalPs_ sim Because both are moving they come closer to each other with SolQtyvvpX+vcX v v_ + v_ vp + vc v. With this velocity they have to cover sO distance what takes them SolQtytsX/vXs t fracsv fracsv_ + v_ fracsv t. During this time the pedestrian moves SolQtyspvpX*tXm s_ v_ t v_ fracsv_+v_ fracv_ sv_+v_ vp t sp approx spS spP. s_ s fracv_v_+v_ spS spP
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Attributes & Decorations
Branches
Kinematics
Tags
cyclist, distance, kinematics, mechanics, motion, pedestrian, physics, uniform motion, velocity
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Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link