Analyze and interpret data for one- and two-dimensional motion applying basic concepts of distance, displacement, speed, velocity, and acceleration (e.g., velocity versus time graphs, displacement versus time graphs, acceleration versus time graphs).

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## UP:SC15.PS.7

### Vocabulary

- Distance
- Displacement
- Scalar
- Vector
- Speed
- Velocity
- Acceleration
- Equation of a line
- Slope
- Trend line

### Knowledge

- A body is in motion if its position changes with respect to its surroundings.
- A particle moving in a straight line undergoes one dimensional motion.
- A particle moving along a curved path in a plane has two dimensional motion.

### Skills

- Create graphs from sets of data points.
- Identify distance and displacement as a scalar/ vector pair.
- Identify speed and velocity as a scalar/ vector pair.
- Describe motion mathematically in terms of an object's change of position, distance traveled, and displacement.
- Apply concepts of average speed and average velocity to solve conceptual and quantitative problems.
- Explain velocity as a relationship between displacement and time. (Δd=vΔt)
- Explain acceleration as a relationship between velocity and time. (a=Δv/Δt)
- Use graphical analysis to understand conceptual trends in displacement, velocity, acceleration, and time.
- Use graphical analysis to solve for displacement, velocity, acceleration, and time.
- Calculate velocity and acceleration from displacement vs. time graphs.

### Understanding

- Motion graphs (displacement vs. time, velocity vs. time, and acceleration vs. time) for one- and two- dimensional motion may be used to derive (conceptual and mathematical) relationships of motion.