Motion Graphs

Speed Which of the following graphs show constant speed?

11/16 p. 52 Motion Graphs- Dist. Vs. Time What happens to the motion of a baseball after it is hit by the batter and flies towards the outfield? It Goes at a constant speed Accelerates Decelerates Has a speed of zero.

Distance vs. Time graphs Time (ind. var.) always on X axis. Dist. or position (dep. var.) on Y axis. Slope (rise over run) of dist/time graph tells us the speed.

Graphing Speed: Distance vs. Time Graphs The following graph shows a car traveling at a constant speed because every second its position increases 10 meters. You can say the car is traveling 10 m/s.

Does the plane have a constant speed? Denver Phoenix

Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise

Graphing Speed: Distance vs. Time Graphs Speed = Slope = Rise/Run Rise=? 600 km 3 h

Speed Which of the following lines show changing speed? Is it increasing or decreasing?

Which graph matches the motion? A runner ran at a constant speed on flat ground, slowed down as she went up a hill, stopped for a few moments at the top, then ran down fast on the other side of the hill.

Interpret the following graph Interpret the following graph. What does the graph tell us about the object’s motion?:

The graph shows an object which is not moving (at rest). The distance stays the same as time goes by because it is not moving. horizontal slope= 0, so speed is 0 m/s

Interpret the following graph Interpret the following graph. What does the graph tell us about the object’s motion?:

Interpret The Graph Below: The graph shows that the object’s distance increases as time passes. The object is moving and so it has speed. The straight line/slope shows it is a constant (not changing) speed.

Question Below is a distance vs. time graph for 3 runners. Who is the slowest? How can you tell?

Interpret the following graph Interpret the following graph. What does the graph tell us about the object’s motion?:

Interpret The Graph Below: Just like the previous graph, this graph shows an object moving with constant speed going back towards a starting point

Interpret The Graph Below:

Interpret The Graph Below: The curve in the graph shows that the object’s speed is changing/increasing as time passes. This is acceleration.

Speed is (constant, changing, 0)______ A-B: Distance is (inc/dec/const)_____Object is (moving forward/backward/not moving)________ Speed is (constant, changing, 0)______ B-C: Dist. is ______ Object is _______ Speed is _______ C-D: Dist. Is _______ Object is ______ Speed is ______ B C D A

OQ: In the first part, A-B, of the graph the object is moving with constant velocity. In the second part of the graph, B-C, the object is at rest (not moving). In the third part, C-D, the object is again moving with constant velocity, back towards where it started. B C D A

11/09 p. 50 Dist/time Graphs practice Complete Acceleration review (pink half sheet).

Motion Graphs: Speed vs. Time C F D E G B Which line/s show/s: Constant speed Speed increasing over time Object going backwards Object not moving

curved line = accelerating, flat line = constant speed Question: The black and red lines represent objects that are accelerating. Black is going a greater distance each second, so it must be speeding up. Red is going less each second, so must be slowing down Remember: in distance vs. time graphs: curved line = accelerating, flat line = constant speed Which line represents an object that is accelerating?

11/ Dist vs. time graph review: How long did the person run for the first part of his journey? How long did he stop for? What was his average speed for the whole trip? Slope = Rise/Run = 0 km/1 hr = 0 km/hr Rise = 2 km Run = 1 hr Rise = 0 km Run = 1 hr Slope = Rise/Run = 2 km/1 hr = 2 km/hr Rise = 1 km Run = 1 hr Slope = Rise/Run = 1 km/1 hr = 1 km/hr

12/1 p. 56 Speed-time graphs IQ: Draw what you think a speed time graph with constant (unchanging) speed would look like.

12/1 p. 56 Speed-time graphs IQ: Complete side 1 of pink half sheet

Speed vs. Time graphs. P. 56 A car sped up on the freeway, went at a constant speed for some time, and then slowed down as it exited and came to a stop. Which of the graphs below correctly depicts the car’s motion?

Speed vs. Time graphs Time on X- axis. Speed or vel. On Y axis Speed vs. Time graphs Time on X- axis. Speed or vel. On Y axis. The slope of a speed/time graph = accel. or decel. Constant speed or no change in speed means zero/no acceleration. What is the velocity at 1s, 2s, 5s? Is the object going at a const. speed or accelerating?

Speed is increasing with time = accelerating Line is straight = acceleration is constant

Interpret The Graph Below:

Interpret The Graph Below: The graph shows that the objects velocity does not change as time passes. It shows constant velocity, no acceleration.

Interpret The Graph Below:

Interpret The Graph Below: The graph shows that the object’s velocity is increasing as time passes – it is accelerating. The straight line shows that it is constant acceleration.

Graph ? Decreasing velocity as time passes- object is decelerating.

Comparing d/t and v/t graphs D/t vs. V/t simulation

OQ: The object is (copy graph) At rest Constantly moving Accelerating Decelerating

Choose the correct answers about the graph above? 1 2 3 4 5 6 7 8 9 10 11 12 13 Choose the correct answers about the graph above? Object is moving at a __________(constant/increasing) speed. It is _________ (accelerating/decelerating). The slope of the line is ____ (1,0.9) and it tells us the object’s (speed, acc.). Speed at 6s time was ____ (4, 5) m/s.

IQ: Above is a graph showing the speed of a car over time. Rise = -6 m/s Run = 3 s Above is a graph showing the speed of a car over time. 1) How is the speed of the car changing (speeding up, Slowing down, or staying the same)? 2) What is this car’s acceleration?

Question Run = 3 s Rise = -6 m/s Above is a graph showing the speed of a car over time. 1) How is the speed of the car changing (speeding up, Slowing down, or staying the same)? 2) What is this car’s acceleration? The car is slowing down Acceleration = rise/run = -6m/s ÷3s = -2 m/s2

Question Run = 3 s Rise = -6 m/s Above is a graph showing the speed of a car over time. 1) How is the speed of the car changing (speeding up, Slowing down, or staying the same)? 2) What is this car’s acceleration? The car is slowing down Acceleration = rise/run = -6m/s ÷3s = -2 m/s2

Above is a graph showing the distance covered by a car over time. What would a speed vs. time graph for this look like? Draw the shape.

On the left hand side page: Draw the dist/time and speed/time graphs side by side for each of the following: Object at rest Object at constant speed Object accelerating Object decelerating

11/12 p. 54 Dist-time graph practice Yellow half sheet

11/13 p. 56 Tortoise and The Hare Graphing IQ: After watching the video clip, draw what the shapes of dist/time graphs for the hare and the tortoise would look like.

Let’s graph this story (easier) Time Tortoise Hare 10 6 20 12 25 15 30 18 40 24 50 60 36 35 Go ahead and graph this on your worksheet Make two lines, one in each color to make sure you know which one we’re talking about

Let’s graph this story Go ahead and graph this on your worksheet Time Tortoise Hare 5 3 10 6 15 9 20 12 25 30 18 35 21 40 24 45 27 50 55 33 60 36 Go ahead and graph this on your worksheet Make two lines, one in each color to make sure you know which one we’re talking about

OQ: Going at the same average speed, how far would the tortoise go in 100 s? Think: What will his speed/time graph look like?