An object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Newton's Three Laws: (1) Law of Inertia: $\sum \vec{F} = 0 \implies \vec{v} = \text{const}$. (2) Fundamental equation of dynamics: $\vec{F}_{\text{net}} = m\vec{a} = \frac{d\vec{p}}{dt}$. (3) Action-Reaction symmetry: $\vec{F}_{AB} = -\vec{F}_{BA}$.
Inclined Plane Mechanics: Weight decomposes into $F_\parallel = mg\sin\theta$ down the slope and normal force $N = mg\cos\theta$. Kinetic friction is $f_k = \mu_k N$.
Net Acceleration: Along the ramp, acceleration is $a = g(\sin\theta - \mu_k \cos\theta)$ when motion occurs.
Operating Instructions: Set mass $m$, applied force, incline angle $\theta$, and friction $\mu$. Run the simulation to view real-time vector breakdowns and kinematics.