What is the normal force between the box and the incline? $($Give your answer in lbs and to $2$ decimal places.$)$

What is the initial linear momentum of the box? $($Give your answer in slug$*$ft$/$s and to $2$ decimal places.$)$

What is the impulse along the incline caused by the weight? $($Give your answer in lb$*$s and to $2$ decimal places.$)$

NOTE: Make sure to account for whether the impulse is positive or negative. No partial credit for incorrect sign

What is the impulse along the incline caused by the friction between the box and the incline? $($Give your answer in lb$*$s and to $2$ decimal places.$)$

NOTE: Make sure to account for whether the impulse is positive or negative. No partial credit for incorrect sign

What is the impulse along the incline caused by the variable force P$?($Give your answer in lb$*$s and to $2$ decimal places.$)$

NOTE: Make sure to account for whether the impulse is positive or negative. No partial credit for incorrect sign

What is the velocity of the box after $3\mathrm{.}5$ seconds? $($Give your answer in ft$/$s and to $2$ decimal places.$)$