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Vectors & Scalars 2


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Vectors & Scalars 2

  2. 2. Common Definitions <ul><li>Scalar: A physical quantity that is a single number. </li></ul><ul><ul><li>Ex: Distance, speed, energy </li></ul></ul><ul><li>Vector: A physical quantity that possesses both magnitude and direction. </li></ul><ul><ul><li>Ex: Displacement, velocity, acceleration. </li></ul></ul>
  3. 3. Scalar One: Speed <ul><li>Speed is the measure of how fast an entity is going. </li></ul><ul><ul><li>Rate at which distance is covered. </li></ul></ul>
  4. 4. Scalar One: Speed <ul><li>Instantaneous Speed </li></ul><ul><ul><li>The speed at any instant. </li></ul></ul><ul><ul><ul><li>Taking the speed at a random time when someone is driving. </li></ul></ul></ul><ul><li>Average Speed </li></ul><ul><ul><li>Average of all instantaneous speeds. </li></ul></ul><ul><ul><ul><li>(Distance traveled)/(Time of travel) is the equation. </li></ul></ul></ul>
  5. 5. Vector One: Velocity <ul><li>Velocity is a vector – it has magnitude & direction. </li></ul><ul><li>Velocity can be measured by using a speedometer in combination with something that indicates the instantaneous direction of travel. </li></ul>
  6. 6. Scalar Two: Distance <ul><li>Distance is a scalar quantity. </li></ul><ul><li>It is the space between two points. </li></ul><ul><li>The equation for finding distance: </li></ul><ul><ul><li>d = vit + 1/2at² </li></ul></ul><ul><ul><li>d – distance, a – acceleration </li></ul></ul><ul><ul><li>vi – intial velocity, t – time </li></ul></ul>
  7. 7. Vector Two: Displacement <ul><li>Displacement has both direction and magnitude: is a vector quantity. </li></ul><ul><ul><li>It is describing how much distance has been covered from beginning to end. </li></ul></ul><ul><li>Displacement is measured by mechanically measuring distance. </li></ul>
  8. 8. Vector Addition <ul><li>The addition of two vectors. </li></ul><ul><li>Result of vector addition is known as the resultant. </li></ul><ul><li>Resultant is the diagonal of the rectangle described in some cases. </li></ul>
  9. 9. Triangle Method <ul><li>Basically done using the pythagorean theorem. </li></ul><ul><li>a²+b²=c², using each side of equation. </li></ul><ul><li>Ex: two vectors, each 3m. </li></ul><ul><li>3²+3²=c² </li></ul><ul><li>3√2 is the resultant. </li></ul><ul><ul><li>Answers can be radical. </li></ul></ul>
  10. 10. Parallelogram Method <ul><li>The vectors need to all point in the same direction. </li></ul><ul><li>Resultant: Diagonal. </li></ul><ul><ul><li>Start at same point as the vectors. </li></ul></ul>
  11. 11. End.