Dr. Nuha Aljuneidi

Dynamics in Motion · Mechanical Engineering

Motion Vector Lab

ACTIVITY 03

Position r(t), velocity v(t) = dr/dt, and acceleration a(t) = dv/dt describe the same motion. Select a preset and observe how the trajectory, vectors, and x/y components remain connected at every instant. Velocity is tangent to the path; acceleration changes speed, direction, or both.

Position x(t) · y(t)

Velocity vx(t) · vy(t)

Acceleration ax(t) · ay(t)

Motion preset

t = 0.00 s
Speed

Show / hide vectors & overlays

Vectors
Overlays
Vector display scale
1.0×

Visual length only: at 1.0×, each vector unit is drawn as 0.5 grid unit. Dashboard values stay physically exact.

Live values exact at time t

time t
0.00 s
speed |v|
0.00 m/s
position r = ⟨x, y⟩
⟨0.00, 0.00⟩ m
velocity v = ⟨vx, vy⟩
⟨0.00, 0.00⟩ m/s
acceleration a = ⟨ax, ay⟩
⟨0.00, 0.00⟩ m/s²
|a|
0.00 m/s²
displacement |Δr|
0.00 m
distance traveled
0.00 m

Equations selected preset

Remember
  • Velocity is tangent to the trajectory.
  • Acceleration need not point along the motion.
  • Zero acceleration ⇒ the whole velocity vector is constant.
  • Constant speed does not mean zero acceleration.

Prediction Challenge

0 of 0 correct

Enable the challenge to begin.

Engineering Record

Explain how the position, velocity, and acceleration vectors describe the selected motion.

Validation & Test Results

Runs automatically when the page URL ends with ?test=1, or press the button below. Checks analytical r/v/a against independently coded expected values, central-difference derivatives, and physical invariants for every preset.

No tests run yet.