Intro to Kinematics Position Distance Displacement Mr Berman
Intro to Kinematics -Position -Distance -Displacement Mr. Berman
Motion n n How would you describe the motion of an object? Motion is relative. Position is compared to an origin. Coordinate system or a reference frame.
Relative Motion “Old Video” n http: //bit. ly/s. Hc. CUY
Linear Motion: Motion in One Dimension
Motion Diagram n How can you visualize the motion of an object? t=1. 5 sec t=1. 0 sec t=0. 5 sec t=0 sec
Particle Model . . t=0. 5 s . t=1. 0 s . t=1. 5 s
Position Vector Y a x i s o x=1 m Position, (m) x=2 m
Position Vectors Y a x i s o x=1 m Position, (m) x=2 m
Position Vectors o d 1=1 m Position, (m) d 2=2 m
Vectors and Scalars n Scalars Magnitude (size) n Vectors Magnitude and Direction
Distance and Displacement n Distance: (Scalar) n Displacement: (Vector)
Displacement (Dd)- change in position. (Note: Dx can also be used as a symbol). Dd o d 1=1. 5 m Position, d (m) d 2=2 m
Example 1: A train after traveling on a straight line north for 1 hour, is located 20 km from the train station. After 1 additional hour of traveling in the same direction the train is 40 km from the train station. a) Draw a particle model. b) Draw the position vectors for the two positions. c) Draw the displacement vectors from t=1 h to t=2 h. d) What is the total distance traveled?
Example 2: A jogger jogging south for 5 min is 1 km from the start. She then jogs 0. 5 km north for 5 min. 1) Draw a particle model. 2) Draw the position vectors. 3) Draw the displacement vectors from t=5 min to t=10 min. 4) What is the total distance traveled?
Example of Position vs Time Graph Position, (m) 20. 0 10. 0 A o 0. 5 1. 0 1. 5 2. 0 Time, (s) n n At what time did the object return to the origin? What is the distance travelled and displacement at point A?
- Slides: 15