Warm Up Sketch a positiontime graph that shows

Warm Up Sketch a position-time graph that shows a person starting 1 m away from a motion detector, walking away for 2 seconds at a constant pace, walking toward for 1 second at the same pace, and then stopping. 2. Describe the motion: 1.

Position vs. Time Graphs What is in a position vs. time graph? X-axis: time that the object is in motion Y-axis: position of the object in motion Position (m) Position vs. Time -3 40 30 20 10 0 2 7 Time (s) 12 SLOPE of the line = velocity!

How to Find Slope = rise = Δy run Δx = How much your position is changing How much your time is changing SLOPE IS VELOCITY!!!!!

Position (m) 40 Position vs. Time 30 20 10 0 -3 2 7 12 Time (s) What is the velocity between t = 0 and t = 4? Slope = Δy/Δx Slope = 20 m/4 s = 5 m/s

Position vs. Time Position (m) 40 30 20 10 0 0 2 4 6 8 10 12 Time (s) What is the velocity between t =4 and t = 6? Slope = Δy/Δx Slope = 0 m/2 s = 0 m/s When an object is at rest, its velocity = 0 so slope = 0

Position vs. Time Position (m) 40 30 20 10 0 0 2 4 6 8 10 12 Time (s) What is the velocity between t = 6 and t = 8? Slope = Δy/Δx Slope = 20 m/2 s = 10 m/s

Position vs. Time Position (m) 40 30 20 10 0 0 2 4 6 8 10 12 Time (s) What is the velocity between t = 8 and t = 12? Slope = Δy/Δx Slope = -20 m/4 s = -5 m/s Negative velocity means…?

Exit Ticket Lauren Ronaldo Ben 100 Position (m) 80 80 60 60 40 40 20 20 00 00 0 16 222 18 444 666 10 12 14 16 18 18 888 10 10 12 12 14 14 16 Time (s) Look at the graph. It shows how 3 runners ran a 100 -meter race. 1. Which runner won the race? 2. Which runner stopped for a rest? 3. How long did he stop to rest? 4. How long did Ronaldo take to complete the race? 5. What is Lauren’s average speed?

Exit Ticket Lauren Ronaldo Ben 100 Position (m) 80 80 60 60 40 40 20 20 00 00 0 16 222 18 444 666 10 12 14 16 18 18 888 10 10 12 12 14 14 16 Time (s) Look at the graph. It shows how 3 runners ran a 100 -meter race. 1. Which runner won the race? Lauren 2. Which runner stopped for a rest? Ben 3. How long did he stop to rest? 4 seconds 4. How long did Ronaldo take to complete the race? 14 seconds

X B A t C A … Starts at home (origin) and goes forward slowly B … Not moving (position remains constant as time progresses) C … Turns around and goes in the other direction quickly, passing up home

Position (m) Time (sec) During which intervals was he traveling in a positive direction? During which intervals was he traveling in a negative direction? During which interval was he resting in a negative location? During which interval was he resting in a positive location? During which two intervals did he travel at the same speed? A) 0 to 2 sec B) 2 to 5 sec C) 5 to 6 sec D)6 to 7 sec E) 7 to 9 sec F)9 to 11 sec