How Can You Create the Following Position Graphs?

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Presentation transcript:

How Can You Create the Following Position Graphs? X (m) t (sec) X (m) t (sec) Graph 3. X (m) t (sec) X (m) t (sec) Graph 4. A. Speed Up B. Turn Around C. Slow Down D. Stand Still

How Can You Create the Following Velocity Graphs? (m/s) t (sec) V (m/s) t (sec) Graph 3. Graph 4. V (m/s) t (sec) V (m/s) t (sec) Speed Up, then Slow Down B. Turn Around C. Walk Away D. Stand Still E. Walk Toward

Which Object is Moving Faster (Greatest Speed)? Graph 2. Graph 1. X (m) t (sec) X (m) t (sec) B A B A Graph 4. Graph 3. X (m) t (sec) X (m) t (sec) B A A B Line A B. Line B C. Tie D. Can’t Tell

Which Object is Moving Faster (Greatest Speed)? Line A B. Line B C. Tie D. Can’t Tell A B V (m/s) t (sec) Which Object is Ahead? Line A B. Line B C. Tie D. Can’t Tell

Which Object is Moving Faster (Greatest Speed)? Line A B. Line B C. Tie D. First B, then A E. First A, then B V (m/s) t (sec) B A Which Object is Ahead? Line A B. Line B C. Neither D. Can’t Tell What Does the Intersection Represent? Same Position B. Same Velocity C. They Crash Into Each Other D. They Turn Around

Create a Velocity Graph from a Position Graph

Create a Velocity Graph from a Position Graph Velocity is the Slope of the Position Graph

Create a Velocity Graph from a Position Graph (3.0, 3.5) ∆x (0.5, 1.0) ∆t Slope = ∆x = 3.5 - 1.0 = +1 m/s ∆t 3.0 - 0.5

Create a Velocity Graph from a Position Graph Slope = 0 Velocity = 0

Create Position Graph from a Velocity Graph Does the Velocity Graph tell you Where to Start?

Line Stays at 1 m while Velocity is Zero How Far Do You Go from 3 to 6 seconds?

You end up at 2.5 meter Position at 6 seconds How Far Do You Go from 6 to 9 seconds?

You End Up Back Where You Started What Does the Graph Do Next?

What is Average Speed While Moving What is Average Speed While Moving? What is the Average Velocity While Moving?

What is Average Speed While Moving What is Average Speed While Moving? What is the Average Velocity While Moving?

What is Average Speed While Moving What is Average Speed While Moving? What is the Average Velocity While Moving?

Area “Under” a Velocity Graph is Displacement 0.5 m/s  3 s = 1.5 m -0.5 m/s  3 s = -1.5 m -1.5 m +1.5 m

Area “Under” a Velocity Graph is Displacement, even when Velocity Line has a Slope

Area “Under” a Velocity Graph is Displacement, even when Velocity Line has a Slope Area = 4s  .5 m/s = 2 m Area = 1/2  4s  .5 m/s = 1m Area = 1/2  2s  .5 m/s = 0.5 m

Or, Displacement is the Average Velocity times the Time

E&P #17 + - 1. When, if ever, is the animal to the left of the origin on the axis? (A) never (B) between t = 0 and t = 2 (C) none of these (D) between t = 2 and t = 4 (E) between t = 4 and t = 7 2. When, if ever, is its velocity negative? (B) between t = 3 and t = 7 (D) between t = 0 and t = 3 (E) between t = 2 and t = 4 3. When, if ever, is its velocity positive? (A) always (B) between t = 3 and t = 7 (C) none of these (D) between t = 0 and t = 3 (E) never 4. When, if ever, is its velocity zero? (A) around t = 1 (B) at t = 3 (C) between t = 2.5 and t = 4.5 (D) never (E) at t = 0

E&P #19 What is the total distance covered between 0 and 16 seconds by the runner whose velocity is shown above? (A) 128 m (B) 80 m (C) 100 m (D) Can’t tell (E) None of the above

Which Graph Shows the Velocity of a Ball Thrown Straight Up, After it Leaves Your Hand? (m/s) t (sec) B V (m/s) t (sec) C D V (m/s) t (sec) V (m/s) t (sec) E V (m/s) t (sec)