Label: left parenthesis, 0 , 800 , right parenthesis Has graph. To audio trace, press ALT+T.0,800
Label:
7
Label: left parenthesis, 13.7 0 5 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.13.705,0
Label:
8
`s\left(t\right)=s_{0}-\frac{m\ln\left(\cosh\left(\operatorname{arctanh}\left(v_{0}\sqrt{\frac{k}{mg}}\right)-t\sqrt{\frac{kg}{m}}\right)\right)}{k}\left\{t\ge0\right\}` left parenthesis, 12.2 8 , 628 , right parenthesis12.28,628
Label:
9
10
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left parenthesis, 0 , 800 , right parenthesis0,800
left parenthesis, 13.7 0 5 , 0 , right parenthesis13.705,0
"s" left parenthesis, "t" , right parenthesis equals "s" Subscript, 0 , Baseline minus StartFraction, "m" ln left parenthesis, cosh left parenthesis, arctanh left parenthesis, "v" Subscript, 0 , Baseline StartRoot, StartNestedFraction, "k" NestedOver "m" "g" , EndNestedFraction , EndRoot , right parenthesis minus "t" StartRoot, StartNestedFraction, "k" "g" NestedOver "m" , EndNestedFraction , EndRoot , right parenthesis , right parenthesis Over "k" , EndFraction left brace, "t" greater than or equal to 0 , right bracest=s0−mlncosharctanhv0kmg−tkgmkt≥0