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Scientific and Engineering Practices

Analyzing and Interpreting Data

Cause and Effect

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.

Vocabulary

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