Projectile Motion Simulator

Visualize how horizontal and vertical velocity components shape a gravity-driven trajectory.

Angle (θ):

45°

Initial Velocity (v₀):

25 m/s

Gravity (g):

9.8 m/s²

Theoretical Range: -

Max Height: -

Current position: x: 0.0m, y: 0.0m

Horizontal Velocity (Vx): -

Vertical Velocity (Vy): -

Range (R) R = (v₀² · sin(2θ)) / g

Max Height (H) H = (v₀² · sin²(θ)) / (2g)

Inclined Plane Simulator

Analyze static/kinetic friction and resolved gravity force components on a sliding block.

Incline Angle (θ):

30°

Mass (m):

5 kg

Friction Coefficient (μ):

0.2

Parallel Gravity (mg·sinθ): -

Normal Force (mg·cosθ): -

Max Static Friction (μ·N): -

Net Acceleration (a): -

Status: Stable

Normal Force (N) N = m · g · cos(θ)

Friction Force (f) f_max = μ · N = μ · m · g · cos(θ)

Net Acceleration (a) a = g · (sin(θ) - μ · cos(θ)) [if sin(θ) > μ · cos(θ)]