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# U2 Wiki1 09

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### U2 Wiki1 09

1. 2. <ul><li>Measures the distance form a starting point to an end point </li></ul><ul><li>Displacement = Xf-Xi (Final position minus Initial position) </li></ul><ul><li>Displacement doesn’t care how the object got from Xi to Xf, it only cares about the distance between the two points. </li></ul><ul><ul><li>Not path dependent </li></ul></ul><ul><ul><li>Running in a circle or finishing a trip from its start results in a displacement of 0 (Xi and Xf are the same Xf-Xi=0) </li></ul></ul><ul><li>Measured in meters </li></ul><ul><li>Displacement is displayed as a number line: </li></ul>
2. 3. <ul><li>Negatives and positives in displacement represent direction. </li></ul><ul><li>If Xi is greater than Xf then the displacement is negative </li></ul><ul><li>A negative displacement usually means the object was going backwards. </li></ul><ul><li>This depends of the frame of reference </li></ul>
3. 4. <ul><li>A frame of reference can make calculating a displacement or distance much easier. </li></ul><ul><li>A frame of references tells you where zero is and which direction is positive </li></ul><ul><li>You can usually choose your frame of reference. Making Xi or Xf 0 makes calculations easier. </li></ul>
4. 5. <ul><li>Distance is like displacement, but it is path dependent. </li></ul><ul><li>It not only wants to know the distance between Xi and Xf, but also how the object got there. </li></ul><ul><li>Distance, unlike displacement, CANNOT be negative, it is physically impossible. </li></ul><ul><li>Measured in meters </li></ul>
5. 6. <ul><li>The amount of time the object takes to get from Xi to Xf </li></ul><ul><li>Ti – Tf </li></ul><ul><li>Always positive </li></ul><ul><li>Ti is almost always 0 </li></ul><ul><li>Measured in seconds </li></ul>
6. 7. <ul><li>Velocity = Displacement over Time . </li></ul><ul><li>Can be negative. The sign represents direction. </li></ul><ul><li>Measured in meters over seconds. </li></ul>
7. 8. <ul><li>Speed = Distance over Time </li></ul><ul><li>Cannot be negative </li></ul><ul><li>Measured in meters over seconds </li></ul>
8. 9. <ul><li>Slope = Velocity </li></ul>
9. 10. <ul><li>Measures the velocity in a single instant </li></ul><ul><li>Easy on graphs with straight line </li></ul><ul><li>Slightly harder on curves. </li></ul><ul><ul><li>Solution = take the slope of a tangent line </li></ul></ul>
10. 11. <ul><li>Acceleration = Velocity over Time </li></ul><ul><li>Can be negative </li></ul>
11. 12. <ul><li>Slope = Acceleration </li></ul>To find the instantaneous acceleration, draw a tangent line and measure the slope Y T