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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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.

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 $$\displaystyle{v}_{{0}},\alpha$$