Physics with Calculus
Set N=maN = ma, ignore the motion function, and use the velocity directly as the force
Integrate v⃗(t)\(\vec{v}\)\(\left\)(t\(\right\)) to find position, calculate weight, set Fx→\(\overrightarrow{F_x}\) equal to position, then solve for acceleration
Compute momentum first, equate it to the normal force, then differentiate force to obtain acceleration
Draw a free-body diagram, choose axes, differentiate v⃗(t)\(\vec{v}\)\(\left\)(t\(\right\)) to find a⃗(t)\(\vec{a}\)\(\left\)(t\(\right\)), evaluate a⃗\(\vec{a}\) at the desired time, apply Fx→=max→\(\overrightarrow{F_x}\)=m\(\overrightarrow{a_{x}\)}