A basketball player $($m $=90$ kg$)$ lands on the gym floor from a lay$-$up jump with a initial impact velocity of v $=4$ x $-5$ y $($m$/$s$).$ Their landing takes $0\mathrm{.}3$ seconds with a constant ground reaction force to dissipate the vertical momentum. The coefficient of static friction is equal to $0\mathrm{.}6.$

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Flag question: Question $1$

Question $11$ pts

What is the vertical component of the ground reaction force during the landing?

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Flag question: Question $2$

Question $21$ pts

What is the horizontal component of the ground reaction force during the landing if the horizontal momentum were to be dissipated also over $0\mathrm{.}3$ seconds and without slip?

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Flag question: Question $3$

Question $31$ pts

What is the maximum static friction for the landing given the calculated vertical ground reaction force?

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Flag question: Question $4$

Question $41$ pts

What is the instantaneous power at impact of the vertical ground reaction force $($in Watts$)?$