Creating And Using Kinematic Equations Chart - Kinematics - Physics

Summary

This video tutorial guides viewers on creating a kinematics equation chart, a valuable tool for solving kinematic problems. It outlines the five fundamental kinematic variables: displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t). The video then presents four kinematic equations, each missing one of the variables, which is crucial for determining the appropriate equation to use based on the given and unknown variables in a problem. The tutorial demonstrates how to apply the chart to a real-world problem involving a car's acceleration and time to find the displacement, emphasizing the importance of identifying the unneeded variable to select the correct equation.

Takeaways

• 📚 The video teaches how to create a kinematics equation chart to solve kinematic problems.
• 🔢 Five key kinematic variables are identified: displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t).
• 📈 Four fundamental kinematic equations are introduced: VF = VI + a*t, Δx = VI*t + 0.5*a*t^2, VF^2 = VI^2 + 2*a*Δx, and Δx = (VI + VF)*t/2.
• 🎨 The chart visually organizes equations by shading the variable that is not present in each equation, aiding in the selection of the appropriate equation for a given problem.
• 🔍 To use the chart, list the given and unknown variables in a problem, then identify the missing variable to select the correct equation.
• 🚗 An example problem is solved using the chart: finding the displacement of a car given initial velocity, acceleration, and time.
• 📝 The process involves writing down all variables, filling in the known values, and using the missing variable to pick the correct kinematic equation from the chart.
• 🧮 The example calculation demonstrates how to substitute the known values into the chosen equation to find the displacement.
• 📊 The kinematics chart is a tool to help quickly determine which equation to use based on the given and unknown variables in a problem.
• 💡 The video emphasizes the importance of recognizing the variable not needed for a problem to effectively use the kinematics chart.

Q & A

What are the five kinematic variables mentioned in the video?

The five kinematic variables mentioned are displacement (Δx), initial velocity (VI), final velocity (VF), acceleration (a), and time (t).

What are the four kinematic equations provided in the video?

The four kinematic equations are: 1) VF = VI + a*t, 2) Δx = VI*t + 0.5*a*t^2, 3) VF^2 = VI^2 + 2*a*Δx, and 4) Δx = (VI + VF)*t / 2.

How does the video suggest determining which kinematic equation to use for a problem?

The video suggests looking at the given and unknown variables in the problem and identifying the variable that is not needed (shaded in green in the kinematics chart) to determine which equation to use.

Why is it important to identify the variable that is not needed in a kinematic problem?

Identifying the variable that is not needed helps to determine which kinematic equation to use because the equation that does not contain that variable is the one that can be used to solve the problem.

What does the video demonstrate through the example of a car accelerating from an initial speed?

The video demonstrates how to use the kinematics chart to solve for displacement when given initial velocity, acceleration, and time, but not the final velocity.

How does the video explain the process of solving a kinematic problem using the chart?

The video explains the process by first writing down all the variables, filling in the given values, identifying the unknown variable, finding the corresponding equation on the chart that lacks the unknown variable, and then solving the equation.

What is the significance of shading the displacement variable in the first kinematic equation on the chart?

The displacement variable is shaded in the first kinematic equation on the chart to indicate that it is the variable not needed when using this equation, which helps in selecting the correct equation for a problem.

Why does the video emphasize the importance of the variable that is not asked for in a problem?

The variable that is not asked for in a problem is emphasized because it is the key to selecting the appropriate kinematic equation from the chart, as the chosen equation should not contain that variable.

What is the final result of the example problem involving a car accelerating for 5 seconds in the video?

The final result of the example problem is that the car travels a displacement of 62.5 meters in 5 seconds.

How does the video recommend verifying the correct kinematic equation for a given problem?

The video recommends verifying the correct kinematic equation by ensuring that the equation aligns with the given and unknown variables, specifically by confirming that the equation lacks the variable not needed for the problem.