Motion Map Method Physics Seo

Making a Motion Map Representational tool for motion Camera is stationary Object moves across the frame Frames have a specific time interval For most cameras it is 1/30 second For most motion maps it will be 1 second) Each time interval the car moves to the right a certain displacement

Making a Motion Map Stacking the frames on top of each other Showing an object’s position at several equally spaced instances of time = motion map.

Motion Diagrams with Velocity Vectors The velocity vector, as we’ve defined it, points in the same direction as the displacement Δx The length of v is directly proportional to the length of Δx Remember v= Δx / Δt and Δt is constant Vectors are clearly labeled in motion map. V0 Hare V0 Tortoise

Graphing with Motion Maps Physics Seo

Position vs. Time The x-axis is always “time” The y-axis is always “position” The slope of the line= velocity Slope = (y2-y1)/(x2-x1) x1-x0/t1-t0 Δx/Δt

Given below is a diagram of a ball rolling along a table each 0 Given below is a diagram of a ball rolling along a table each 0.1 seconds.   assume this distance equals 0.2 m and display on a graph plotting its x-position versus time.

Slopes on a Position vs. Time graph Slope is related to velocity Steep slope = higher velocity Shallow slope = less velocity

Different Position. Vs. Time graphs Exponential Motion Constant Motion Constant positive velocity (zero acceleration) Increasing positive velocity (positive acceleration) Changing slope means changing velocity!!!!!!

X t B A C A … Starts at home (origin) and goes forward slowly B … Not moving (position remains constant as time progresses) C … Turns around and goes in the other direction quickly, passing up home

Graphing w/ Acceleration x Graphing w/ Acceleration t A B C D Increasing Decreasing A … Start from rest south of home; increase speed gradually B … Pass home; gradually slow to a stop (still moving north) C … Turn around; gradually speed back up again heading south D … Continue heading south; gradually slow to a stop near the starting point

Velocity vs. Time X-axis is the “time” Y-axis is the “velocity” Slope of the line = the acceleration

Horizontal lines = constant velocity Sloped line = changing velocity Velocity vs. Time Horizontal lines = constant velocity Sloped line = changing velocity Steeper = greater change in velocity per second Negative slope = deceleration

Acceleration vs. Time Time is on the x-axis Acceleration is on the y-axis Shows how acceleration changes over a period of time. Often a horizontal line.

All 3 Graphs t x v t a t