1. Graphs of Linear Motion

2. Graph of d vs. t Dx
Slope = velocity Dt

3. Slope = instantaneous velocity
Graph of d vs. t
Tangent line
Slope = instantaneous velocity xo

4. Velocity vs. Time Graph
Dv = 4
Dt = 2
Slope = acceleration vo

5. Area under v vs. t
Area =
½ (at) t=
½ at2
Area = vot

6. Moving From Graph To Graph
Slope
Slope of x vs. t v
Slope of v vs. t a
Area
Area of v vs. t x
Area of a vs. t v

7. Problem #3 What is the distance covered from 0 to 10 seconds?
What is the acceleration at 7 seconds?

8. Problem #4 What is the distance covered from 0 to 6 seconds?
What is the displacement at 6 seconds if xo=0?