Day 9 h-graphical analysis-per1

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

VELOCITY is the SLOPE of a distance, position, or displacement vs. time graph.

What is the slope doing? CHANGING, INCREASING What is the velocity doing? CHANGING, INCREASING

Describe the acceleration during interval A. The acceleration or SLOPE is constant and positive. Describe the acceleration during interval B. The acceleration or SLOPE is ZERO. Describe the acceleration during interval C. The acceleration or SLOPE is constant and negative.

What is the acceleration(slope) doing? The acceleration is INCREASING!

[object Object],Stationary Object Distance vs. Time Velocity vs. Time Acceleration vs. Time Object with Constant Speed Distance vs. Time Velocity vs. Time Acceleration vs. Time

[object Object],Distance vs. Time Velocity vs. Time Acceleration vs. Time

The slopes help us sketch the motion of other graphs! Graphs of an object moving with negative acceleration

[object Object],[object Object],[object Object]

How FAR did this object travel during interval A? How FAR did this object travel during interval B? How FAR did this object travel during interval c?

[object Object],[object Object]

 v What is the change in Velocity during the t=2 to t=4 interval?

t (s) t (s) t (s) x (m) v (m/s) a (m/s/s) slope = v slope = a area = x area = v Graph Slope Area x vs. t Velocity N/A v vs. t Acceleration Displacement a vs. t N/A Velocity Slope Graph Area x vs. t v vs. t a vs. t

One of the more difficult applications of graphs in physics is when given a certain type of graph and asked to draw a different type of graph t (s) x (m) slope = v t (s) v (m/s) ,[object Object],The slope is CONSTANT The slope is POSITIVE How could you translate what the SLOPE is doing on the graph ABOVE to the Y axis on the graph to the right?

t (s) x (m) t (s) v (m/s) ,[object Object],[object Object],[object Object],The slope is constant The slope is constant The slope is “+” The slope is “-” The slope is “0” Sketching a velocity vs. time graph given a distance vs. time graph This is IMPORTANT info you will need to do the lab analysis & graphing homework!

t (s) v (m/s) t (s) a (m/s/s) t (s) a (m/s/s) t (s) a (m/s/s) What is the SLOPE(a) doing? The slope is increasing

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],a) How fast is the boat moving after accelerating for 5 seconds? 13. 5 m/s What do I know? What do I want? v o = 1.50 m/s v = ? a = 2.40 m/s/s t = 5 s

b) How far did the boat travel during that time? 37.5 m

1.5 m/s 13.5 m/s Total displacement = 7.50 + 30 = 37.5 m = Total AREA under the line.

Example: You are driving through town at 12 m/s when suddenly a ball rolls out in front of your car. You apply the brakes and begin decelerating at 3.5 m/s/s. How far do you travel before coming to a complete stop? 20.57 m What do I know? What do I want? v o = 12 m/s x = ? a = -3.5 m/s/s V = 0 m/s

[object Object],Equation Missing Variable x v t

Day 9 h-graphical analysis-per1

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