UP:SC15.PS.7
Vocabulary
- Distance
- Displacement
- Scalar
- Vector
- Speed
- Velocity
- Acceleration
- Equation of a line
- Slope
- Trend line
Knowledge
Students know:
- 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
Students are able to:
- 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
Students understand that:
- 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.
Scientific and Engineering Practices
Analyzing and Interpreting Data
Crosscutting Concepts
Cause and Effect