Equations of Motion. Velocity-Time Equation v f =v i +at.
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Transcript of Equations of Motion. Velocity-Time Equation v f =v i +at.
![Page 1: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/1.jpg)
Graphing with AccelerationEquations of Motion
![Page 2: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/2.jpg)
Velocity-Time Equation
vf=vi+at
![Page 3: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/3.jpg)
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Position-Time equations
The position-time equation for constant velocity xf = xi + vt can be applied to situations in which velocity is changing by replacing the constant velocity with the average velocity vav:
xf = xi + vavt
Expressing average velocity in terms of the initial and final velocities gives the equation to find the position of an accelerating object:
![Page 4: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/4.jpg)
The area beneath the velocity-time curve for the motion of a boat may be separated into two parts: a rectangle and a triangle.
![Page 5: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/5.jpg)
Combing the position-time
equation and the velocity-time equation yields an expression that relates position to acceleration and time
![Page 6: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/6.jpg)
Acceleration results in a
change in velocity with position. The following equation relates initial and final velocities, change in position, and acceleration:
![Page 7: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/7.jpg)
![Page 8: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/8.jpg)
![Page 9: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/9.jpg)
![Page 10: Equations of Motion. Velocity-Time Equation v f =v i +at.](https://reader036.fdocuments.us/reader036/viewer/2022062306/5a4d1b467f8b9ab0599a3487/html5/thumbnails/10.jpg)