A toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The $4\mathrm{.}80-$kg puck has a velocity of $1\mathrm{.}00$ m$/$s at one instant. Eight seconds later, its velocity is $(6\mathrm{.}00+6\mathrm{.}0)$ m$/$s$.$

$($a$)$ Assuming the rocket engine exerts a constant horizontal force, find the components of the force.

$+$

N

$($b$)$ Find its magnitude.

N