For Max/ Emily

QOD: A car starts at rest, rapidly accelerates at a constant rate for 2 sec, coasts for 2 sec, slowly decelerates at a constant rate for 4 sec, coasts 5 more sec, and then brakes to a stop with a constant acceleration.









d = accelerates with a curve for 2 sec
maintains slope for 2 secs
decreases with a curve for 4 secs
maintains slope for 5 secs
momuntarily maintains slope, but changes to a horizontal line

d' = accelerates at a constant rate of change, a line, for 2 secs
continues unto a horizontal line for 2 secs
decreases at a constant rate of change, another line, for 4 secs
continues unto a horizontal line for 5 secs
decreases into a horizontal line

d'' = horizontal line for 2 secs
hole, due to corner, turns to a horizontal line at y=0 for 2 secs
hole, due to corner, turns to a horizontal line at y=-.5 for 4 secs
hole, due to corner, turns to a horizontal line at y=0 for 5 secs
hole, due to corner, turns to a horizontal line at 7=-.25