If a distance vs time graph has a slope of 0, what has happened?

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Presentation transcript:

If a distance vs time graph has a slope of 0, what has happened? Tuesday August 25th, 2015 By the end of the day, YOU will be able to: Solve problems related speed and velocity. Graph distance vs time data Use the slope of a distance vs time graph to find speed Starter: What is the equation for speed? What does it look like in the triangle form? A train travels 225 km East in 2.5 hrs. What is the trains average velocity? Suppose you ride your bicycle to the library traveling at 0.5 km/min. It takes you 25 mins to get the library. How far did you travel? A person in a kayak paddles upstream at an average speed of 4 km/hr. How long would it take her to travel 16 km? And answer a question like this: If a distance vs time graph has a slope of 0, what has happened? Agenda: Complete Speed Lab Position vs Time Speed/Velocity Practice 8-10 minutes

Distance vs Time When plotting distance vs time graphs, time is always plotted on the x-axis. Distance is plotted on the y axis

Objects at Rest If an object is not moving, a horizontal line is shown.

Object at a constant speed If an object is moving at a constant speed, it means it has the same increase in distance in a given time.

Just like the previous graph, this graph shows an object moving with constant velocity

Comparing Objects Both of the lines in the graph show that each object moved the same distance, but the steeper dashed line got to that distance before the other one.

Summary A distance – time graph tells us how far an object has moved with time. The steeper the graph, the faster the motion. A horizontal line means the object is not changing its position– it is at rest

Explain what is happening for each segment Explain what is happening for each segment. (An airplaine descending for landing.)

John left his home and walked 3 blocks to his school. What is one possible interpretation of the section of the graph from point b to point c?

Calculating Speed For a distance vs time graph, the speed of the object is equal to the slope of the line. Slope= y2-y1 x2-x1 Sometimes called the rise over the run.

Calculating Slope

Speed

Find the speed.

Slope Find the speed for each segment of the graph.

Plotting Distance vs Time Time (s) Distance (m) 1 2 3 4 5 6