Quiz #3 Flashcards
Vav = _
displacement / DELTA t
Rate at which the position is changing
velocity
Velocity requires specification of _ and _
- displacement = _ x _
- magnitude & direction
- Vav x DELTA t
Vav = (Pf-Pi) / (Tf-Ti) OR
Vav = (Pi+1 - Pi) / (Ti+1 - Ti)
traditional “between method” of velocity calculation
Velocity is the _ of the Position-Time Graph
slope
- If +, velocity is _
- If -, velocity is _
- If 0, velocity is _
- positive
- negative
- 0
The greater the slope, the greater the _ _
velocity magnitude
Problem with traditional “between method” velocity calculation:
- corresponding time values are _ _ between actual time values
- therefore position and velocity _ _ _
- 1/2 way
- do not align
Vavi = (pi+1 - Pi-1) / (Ti+1 - Ti-1)
First central difference method of velocity calculation (@ velocity method)
@ velocity method:
- allows velocity times to line up
- _ is lost but minimized if DELTA t is small
- does not allow the calculation of the _ or _ _
- sensitivity (accuracy)
- first or last value
Neither the “between” or the “@” methods provide an _ _
instantaneous value
_ _ may only be approached with DELTA t being very small or as DELTA t approaches 0
“instantaneous” value
_ _ uses 2 DELTA t and _ _ uses 1 DELTA t therefore the _ method is closer to instantaneous
- @ method
- between method
- between
Aav = _
DELTA velocity / time
Rate at which velocity is changing
acceleration
Acceleration requires specification of _ and _
- DELTA velocity = _ x _
- magnitude & direction
- Aav x DELTA t
Aav = (Vf-Vi) / (Tf-Ti) OR
Aav = (Vi+1 - Vi) / (Ti+1 - Ti)
Traditional “between method” of acceleration calculation
Acceleration is the _ of the Velocity-Time Graph
slope
- If +, acceleration is _
- If -, acceleration is _
- If 0, acceleration is _
- positive
- negative
- 0
The greater the slope, the greater the acceleration _
magnitude
Problem with traditional “between method” acceleration calculation:
- corresponding time values are _ _ between actual time values
- therefore velocity values and acceleration values _ _ _
- 1/2 way
- do not align
Aavi = (Vi+1 - Vi-1) / (Ti+1 - Ti-1)
First central difference method of computing acceleration (@ acceleration method)
@ acceleration method:
- allows the acceleration-time values to line up
- _ is lost but, if DELTA t is small enough sensitivity problems are reduced
- does not allow for the calculation of the _, _, _, or _ acceleration values
- sensitivity (accuracy)
- first, second, second to last, & last
- A + value for an acceleration does not necessarily mean an _ in velocity
- A - value for acceleration does not necessarily mean a _ in velocity
- increase
- decrease
