The winch delivers a horizontal towing force $\backslash (\backslash$mathbf$\{$F$\}\backslash )$ to its cable at $\backslash (\backslash$boldsymbol$\{$A$\}\backslash )$ which varies as shown in the graph. $($Figure $1)$ Part A

Determine the speed of the $70$ kg bucket when $\backslash ($ t$=15\backslash$mathrm$\{$~s$\}\backslash ).$ Originally the bucket is moving upward at $\backslash ($ v$\_\{1\}=6\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$

Express your answer to three significant figures and include the appropriate units.

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