Interpreting Motion Graphs and Position Equations

Mr Cy introduces a lesson on motion graphs, covering distance vs time and velocity vs time graphs. He explains how to create clear graphs, interpret slopes as velocity and acceleration, and derive the position equation. The lesson emphasizes the importance of graph size, labeling, and neatness. Key concepts include constant velocity, acceleration, and the use of calculus for curved graphs. The lesson concludes with a recap and an invitation to explore more on projectile motion.

What are the essential components of a good graph?

• Title, no labeled axes, proper units, and large size

• Title, labeled axes, no units, and small size

• No title, labeled axes, proper units, and large size

• Title, labeled axes, proper units, and large size

In a distance versus time graph, what does the slope represent?

• Displacement

• Velocity

• Acceleration

• Time

What does a straight line in a distance versus time graph indicate?

• Changing velocity

• Constant velocity

• Constant acceleration

• Changing acceleration

In a velocity versus time graph, what does the slope represent?

• Acceleration

• Displacement

• Time

• Velocity

What is the acceleration if the slope of a velocity versus time graph is 10 meters per second squared?

• 15 meters per second squared

• 5 meters per second squared

• 10 meters per second squared

• 20 meters per second squared

Tags

NGSS.HS-PS2-1

What shape does a distance versus time graph take when there is acceleration?

• Straight line

• Parabola

• Circle

• Hyperbola

Tags

NGSS.HS-PS2-1

Why is calculus needed to work with distance versus time graphs with acceleration?

• To calculate the area under the curve

• To label the axes

• To find the average velocity

• To work with curves and changing slopes

What does the area under the curve represent in a velocity versus time graph?

• Displacement

• Acceleration

• Time

• Velocity

What is the formula for the area of a triangle used in the displacement equation?

• One-half length times width

• Base times height

• One-half base times height

• Length times width

What is the initial velocity in the displacement equation if the object starts at 30 meters per second?

• 30 meters per second

• 15 meters per second

• 60 meters per second

• 0 meters per second