Question

A mountain climber plans to jump from A to B over a crevasse. Determine the smallest value of the climber's initial velocity v0 and the corresponding value of angle alpha so that he lands at B.

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asked 2021-05-06
A mountain climber plans to jump from A to B over a crevasse. Determine the smallest value of the climber's initial velocity v0 and the corresponding value of angle alpha so that he lands at B. image

Answers (1)

2021-05-08
\(\displaystyle{x}={v}_{{0}}{t}{\cos{\alpha}}\)
\(\displaystyle{y}={v}_{{0}}{\sin{\alpha}}{t}+{\frac{{{1}}}{{{2}}}}{>}^{{2}}\)
Final velocity v=0
\(\displaystyle{v}^{{2}}-{{v}_{{0}}^{{2}}}={2}{g}{h}\)
Where x=1.8m,y=-1.4m,v=0, \(\displaystyle{g}={9.81}\frac{{m}}{{s}^{{2}}}\)
This values are sustitute in equations (1),(2)&(3)
Then solve find \(\displaystyle{v}_{{0}},\alpha\)
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