1. Bell Ringer: What is the definition of a velocity? a) speed in a direction b) the sum of all the changes in speeds of an object c) both a and b Agenda: 1. Bell Ringer 2. What is a vector? 3. Exit Slip

2. Lecture/ Notes: What is a Vector? In physics one of the ways in which we measure velocity is with vectors. Vectors are arrows that represent the direction and magnitude of a certain object’s velocity. We use these to make it possible to add and subtract velocities in a two dimensional manner. You can see a basic example vectors by looking at the four vectors below. Looking at vector A and B; they are equal because they are both the same length and have the same direction. Vector C and D are not the same because even though they are the same length they are in different directions. ____________________________ ____________________________ ________ At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

3. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. An Example of a Resultant Vector Suppose that you are walking to school from home, but you have a few options to take. You can walk 2 km south then 4 km west and arrive at school. Or you can travel 1 km west, then 2 km south, and then 3 km west. In each case the displacement vector is d is the same. This called the resultant vector. Resultant vectors are equal to the sum of two or more vectors. 4 km 2 km 1 km 2 km 3 km Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

4. Lecture/ Notes: What is a Vector? Using Pythagorean Theorem to Find Resultant Vector Directions: Use the ruler to measure the distance of each arrow. The use a 2 +b 2 =c 2 to find “c” a2a2 b2b2 c2c2 a 2 +b 2 =c 2 At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

5. 2200 S. Cermak/ 1600 W. Ashland 1 2200 S. Cermak/ 4000 W. Pulaski 2 5500 S. 55 St./ 4000 W. Pulaski 3 5500 S. 55 St./ 0 E/W. State St. 4 1600 N. North Ave./ 0 E/W. State St. 5 1600 N. North Ave./ 5600 W. Central 6 1200 S. Roosevelt./ 5600 W. Central 7 1200 S. Roosevelt./ 3200 W. Kedzie 8 4000 N. Irving Park/ 3200 W. Kedzie 9 4000 N. Irving Park/ Clark Where is your location? a)Field Museum c) WIllis Tower b)O ’ Hare Airport d) Wrigley Field Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

6. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude Sketches in physics often include arrows, where each arrow represents the magnitude and direction of a certain quantity. Velocity is a vector quantity, as is acceleration Scalars can be added, subtracted, multiplied, and divided like ordinary numbers Vector and Scalar Quantities 1.Sketches in physics often include arrows, in which each arrow represents the _________________________ and the __________________ of a quantity. 2.What two things are required of a vector quantity? a.force and time b. direction and magnitude c.time and temperature d. direction and mass 3.Is the following sentence true or false? Velocity is a scalar quantity. _________________________ 4.Circle the letter of each quantity that is a vector quantity. a.velocityb. time c. acceleration d. momentum Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

7. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude Sketches in physics often include arrows, where each arrow represents the magnitude and direction of a certain quantity. Velocity is a vector quantity, as is acceleration Scalars can be added, subtracted, multiplied, and divided like ordinary numbers Vector and Scalar Quantities 5.Circle the letter that best describes how two scalar quantities are multiplied. a.using scientific notation b.like ordinary numbers c.by taking the square root of the sum of their squares d.multiplying their magnitudes and subtracting their directions 7.In the space below write and example of a vector quantity and a scalar quantity. vector: ________________________________________ scalar: ________________________________________ Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

8. A vector quantity includes both magnitude and direction, but a scalar quantity includes only magnitude Sketches in physics often include arrows, where each arrow represents the magnitude and direction of a certain quantity. Velocity is a vector quantity, as is acceleration Scalars can be added, subtracted, multiplied, and divided like ordinary numbers Vector and Scalar Quantities 8.Circle the letter of each quantity that is a scalar quantity. a.5 litersb. 10 m/s northc. 32 minutesd. 2 cm south 9.Can a scalar quantity be made into a vector quantity by adding a direction to its magnitude? Explain why or why not and give an example. _______________________________________________ Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

9. Velocity Vectors The resultant of two perpendicular vectors is the diagonal of a rectangle constructed with the two vectors as sides. An airplane’s velocity is a combination of the velocity of the airplane relative to the air and the velocity of the air relative to the ground (the wind velocity). For two velocity vectors that are perpendicular, the result of adding the two vectors, called the resultant, is the diagonal of the rectangular describes by the two vectors. To add equal magnitude vectors, a square is constructed, and the resultant is the diagonal of the square. For any square, the length of the diagonal is √2, or 1.414 times either of the sides. Vector and Scalar Quantities 10.A diagram includes 3-cm long arrow pointing to the right. The arrow is a vector scaled so that 1 cm= 10m/s. Circle the letter of the statement that best describes the vector. a.3 cm to the right b. 30 m/s to the right c.to the right d. 60 km/h to the right 11.An airplane flies in the same direction as the wind. Is the following sentence true or false? The velocity of the airplane is the sum of the airplane’s velocity relative to the air and the wind’s velocity relative to the ground. ______________________ Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

10. Velocity Vectors The resultant of two perpendicular vectors is the diagonal of a rectangle constructed with the two vectors as sides. An airplane’s velocity is a combination of the velocity of the airplane relative to the air and the velocity of the air relative to the ground (the wind velocity). For two velocity vectors that are perpendicular, the result of adding the two vectors, called the resultant, is the diagonal of the rectangular describes by the two vectors. To add equal magnitude vectors, a square is constructed, and the resultant is the diagonal of the square. For any square, the length of the diagonal is √2, or 1.414 times either of the sides. Vector and Scalar Quantities 12. Is the following sentence true or false? A tailwind increases the velocity of an airplane. _________________________ 13. Is the following sentence true or false? Vectors can only be used to add velocities that are parallel to each other. _____________________ 14. The result of adding two vectors is called the ________________________. Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

11. Velocity Vectors The resultant of two perpendicular vectors is the diagonal of a rectangle constructed with the two vectors as sides. An airplane’s velocity is a combination of the velocity of the airplane relative to the air and the velocity of the air relative to the ground (the wind velocity). For two velocity vectors that are perpendicular, the result of adding the two vectors, called the resultant, is the diagonal of the rectangular describes by the two vectors. To add equal magnitude vectors, a square is constructed, and the resultant is the diagonal of the square. For any square, the length of the diagonal is √2, or 1.414 times either of the sides. Vector and Scalar Quantities 15. Circle the letter of the resultant of a 3-unit vector and a 4-unit vector that are perpendicular. a.1-unit vector b. 3-unit vector c. 5-unit vector d. 7-unit vector 16. The figure to the right shows the addition of vectors with equal magnitudes at right angles to each other. Circle the letter that best describe the resultant. 1 unit upward b. 1 unit to the right c. √2 units to 45 O d. 2 units upward Lecture/ Notes: What is a Vector? At the end of the taking notes I should be able to: know and explain what a vector is, know what a resultant vector is, and draw out a vectors representation. Specifics of Assignment: -Reading about the specifics on vectors, and completing examples on a resultant vector. How am I graded: BM 3: I can understand basic terminology BM 4: I can understand a body of text BM 6: I can translate information into a table, graph, or diagram.

12. Exit Slip: What is the definition of a resultant vector? Agenda for Tomorrow: 1. Bell Ringer 2. What is acceleration? 3. Exit Slip