Studied by 4 peoplePosition Graph
What is the function name for this graph?
(start with the letter f )
f(x)
What do you use position graph to calculate?
Specific point (a, b)
Velocity Graph
Velocity =
Δ position / Δ time
Velocity Graph
What is the function name for this graph?
(start with the letter f )
f’(x)
Speed =
| Velocity |
Acceleration =
Δ velocity / Δ time
Acceleration Graph
What is the function name for this graph?
(start with the letter f )
f’’(x)
How is Acceleration represented on a Velocity Graph?
Positive Acceleration
Negative Acceleration
Zero Acceleration
(+) Acceleration = ↑ Velocity
(-) Acceleration = ↓ Velocity
(Zero) Acceleration = Constant Velocity
If speed is increasing…
Acceleration & Velocity = same sign
If speed is decreasing…
Acceleration & Velocity = diff. signs
Particle Motion:
If a particle is moving left (←):
What is the velocity?
What is the acceleration?
If a particle is moving right (→):
What is the velocity?
What is the acceleration?
When a particle is moving to the left (←):
Velocity: (-)
Acceleration: (+)
When a particle is moving to the right (→):
Velocity: (+)
Acceleration: (+)
If x(t) = (-)
v(t) = (-)
What is happening to the particle in reference to the origin?
Particle = Left (←) of origin
Velocity = Going down from origin
If x(t) = (+)
v(t) = (+)
What is happening to the particle in reference to the origin?
Particle = Right (→) of origin
Velocity = Going up from origin
If x(t) = (-)
v(t) = (+)
What is happening to the particle in reference to the origin?
Particle = Left (←) of origin
Velocity = Moving up from origin
If x(t) = (+)
v(t) = (-)
What is happening to the particle in reference to the origin?
Particle = Right (→) of origin
Velocity = Moving down from origin
What happens to a particle when it changes direction?
The points where the particle changes direction are points of non-differentiability at graphs x, v & a.
When does a particle land at a certain point — ex. (0,1) — in reference to position, velocity, acceleration graph?
Position graph - find the time of landing
Velocity graph - velocity at that time
Acceleration graph - changes in acceleration
Note
Flashcard