graphical representations

• x vs t graph (position vs time)

  • the y-int represents the starting position (x₀)

• v vs t graph (velocity vs time)

  • area under curve is displacement (Δx)

    

• motion map

  • each dot represents a time interval (ex - one second)

  • x-axis is position

    

mathematical representations

• position

  • x = vt + x₀

• displacement - change in an object’s position

  • Δx = x_F - x_I

• velocity - measurement of rate and direction

  • v̅ (average velocity) = Δx/Δt = slope of x

  • has direction

    • constant positive velocity

    • constant negative velocity

    • constant 0 velocity (at rest)

• distance

  • ||Δx|| = magnitude of displacement (piece by piece)

    • || || = magnitude

• speed - measurement of rate

  • ||v|| = distance/time = steepness of slope (piece by piece)

  • no direction

on the test

• similar to worksheet 5 (2 pages)

• either x vs t graph or v vs t graph given and you have to draw the blank one

• given motion map, make x vs t graph

• given x vs t graph, make mathematical model (equation), answer a couple question

• given written story, make v vs t graph, and asks about distance, displacement, velocity, and speed