The Motion Chain
Action: Drag to link
Connect position , velocity , and acceleration by taking derivatives.
Position
Velocity
Acceleration
Particle at Rest
Action: Slide to stop
A particle is "at rest" when its velocity is exactly zero.
🚗
s=0
Time:
Velocity:
Velocity is 0! Particle stopped.
Speed vs. Velocity
Action: Tap to select
Speed is the absolute value of velocity: .
Direction doesn't matter!
Find all velocities where
Speed = {{ s3.target }}
Speed = {{ s3.target }}
Incorrect pair. Remember, $|v| = \text{Speed}$.
Both directions found!
Related Rates
Action: Tap to pump
Radius grows at . How fast does volume grow?
Target Rate of Volume:
Current Calculation:
= 4π({{s4.r}})²({{s4.drdt}})
= {{ s4.currentDV }}π
= {{ s4.currentDV }}π
🏆
Master of Motion!
✅ You linked
✅ You found when (At Rest)
✅ You mastered Speed vs. Velocity
✅ You solved a Related Rates problem