Find the slope between 0 and 4.0 s. Find the slope between 0 and 12.0 s. Find the slope between 4.0 and 8.0 s. Find the slope between 8.0 s and 16.0 s.

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Presentation transcript:

Find the slope between 0 and 4.0 s. Find the slope between 0 and 12.0 s. Find the slope between 4.0 and 8.0 s. Find the slope between 8.0 s and 16.0 s. Find the slope between 0 to 20.0 s. Slope: +5.0 m/s at all times between 0 and 20.0 s. How would you describe the motion of the object?

What is the slope of a position-time? m = Δy/Δx= Δp/Δt=Δd/Δt=p 2 -p 1 /(t 2 -t 1 )=v The slope of a position–time graph gives the average velocity between the two times. m = Δy/Δx=|Δd|/Δt=distance/time=speed The slope of a distance-time graph gives the average speed between the two times. Sketch the velocity vs. time graph of the previous position-time graph.

Draw the velocity-time graph and speed-time graph of the event.

Velocity vs Time

Speed vs Time

Average Velocity The average velocity between two times is (650m-40m)/( s) = 87 m/s

Instantaneous Velocity The instantaneous velocity at a specific time is the slope of the tangent line of a position-time graph at the specific time. The velocity, v, at 5 s is (500m-60m)/( s) = 80 m/s

Instantaneous Velocity The velocity increases as time pass because the tangent slope increases.

Describing Motion Graphs answers on the following slides.