Kinematics Goals: understand graphs of a) position versus time, b) velocity versus time.

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Presentation transcript:

Kinematics Goals: understand graphs of a) position versus time, b) velocity versus time.

Basic concepts in kinematics Position Displacement Speed Average Velocity Instantaneous velocity

Graphs: position Versus time. Describe the motion of the person.

Q1. Distance and Displacement A person travels from one point A in space to another point B. The magnitude of the displacement is: 1.either greater than or equal to 2.always greater than 3.always equal to 4.either smaller than or equal to the distance traveled.

Graphs: position versus time. Calculate the average velocity from such a graph.

Graphs: position Versus time. Instantaneous velocity versus time =local slop

Q2: At which point, the velocity is zero ? 1)P1; 2)P2; 3) P3; 4) P4.

Graphs: velocity versus time How to calculate the displacement from such a graph?

Finding position from velocity Displacement is equal to the area below a velocity curve. The area is positive if the curve is above v=0 axis; negative if below the axis.

Motion of a car. A person is driving northward along the east mall Blvd with an initial velocity 10m/s starting from in front of the Hebb theatre. 1) Where is the turning point? 2) Where is the person at t=6s?

Q3 (do it at home) The average velocity and average speed between t=0 and 6s in this case are, respectively, 1)+10m/s and 15m/s; 2)8.33 m/s and 8.33 m/s; 3)- 5m/s and 8.33m/s; 4)-5m/s and m/s.