The $160-kg$ crate rests on the ground for which the coefficients of static and kinetic friction are ${}_s=0\mathrm{.}5$ and ${}_k=0\mathrm{.}4,$ respectively. The winch delivers a horizontal towing force $T$ to its cable at A which varies as shown in the graph. Originally the tension in the cable is zero. $($Figure $1)$

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$1$ of $1$

Part A

Determine the speed of the crate when $t=3\mathrm{.}9s.$ Hint: First determine the force needed to begin moving the crate.

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

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