advanced ideas about slope math physics x x t y position vs. time

13
Advanced Ideas about Slope

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Page 1: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Advanced Ideas about Slope

Page 2: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Math Physics

x

x

t

yPosition

vs.Time

Page 3: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Math Physics

x

x

t

y

Find the Slope

Page 4: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Math Physics

x

x

t

yy

x

x

t

Slope = Rise / Run

Page 5: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Math Physics

x

x

t

yy

x

x

t

Slope = Rise / RunSlope = y / x Slope = x / t

Page 6: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Physics

x

t

x

t

Slope = x/t = Avg. Vel

Page 7: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Physics

x

t

x

t

The Slope of a Position vs. Time graphis Average Velocity

Page 8: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Calculate the Slope

Position(meters)

Time (seconds)

Page 9: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Calculate the Slope

x(m)

T (s)

Point One

Point Two

Page 10: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Calculate the Slope

x(m)

T (s)

Point One

Point Two

9 m

1 m

2 s 6 s

Page 11: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Calculate the Slope

x(m)

T (s)

Point One: 2s, 9m

Point Two: 6s, 1m

9 m

1 m

2 s 6 s

Page 12: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Slope = Rise / Run

x(m)

T (s)

Point One: 2s, 9m

Point Two: 6s, 1m

9 m

1 m

2 s 6 s

Slope = x / t

Page 13: Advanced Ideas about Slope Math Physics x x t y Position vs. Time

Slope = Rise / Run

Slope = x / t

Slope = (x2 - x1) / (t2 - t1)

Slope = (1m - 9m) / (6s - 2s)

Slope = -8m / 4s

Slope = -2 m/s

Why does the negative tell us?