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The crate has a mass of $80 \mathrm{~kg}$ and is being towed by a chain which is always directed at $20^{\circ}$ from the horizontal as shown. Determine the crate's acceleration in $t=2 \mathrm{~s}$ if the coefficient of static friction is $\mu_s=0.4$, the coefficient of kinetic friction is $\mu_k=0.3$, and the towing force is $P=\left(90 t^2\right) \mathrm{N}$, where $t$ is in seconds.

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