AP Physics 1D Kinematics
Displacement formula - d = xf - xi (final position - initial position)
Velocity formula - v = (xf - xi)/t (displacement over time)
Acceleration formula - a = vf - vi / t (final velocity - initial velocity / time)
Kinematic equations
1) vf = vo + at
2) d = vot + 1/2 at^2
3) vf^2 = vo^2 + 2ad
[When looking at position-time graph different slopes represent different velocities] [boxed note]
When working with position-time or velocity-time graphs, start by identifying the different speeds (the slope / line shape), also pay attention to direction / position
When describing motion always include for each slope
1) Position
2) Direction
3) Speed
[The area bellow a velocity-time graph is the displacement] [boxed note]
Same VELOCITY on a position time graph means same slope, not when the points intercept (that's position)
When trying to find the slope (velocity) of a curved slope on a position-time graph, make a tangent line
Change in SPEED is when the slope gets steeper, no matter if its going up or down (draw a tangent line before and after a point)
[The slope of a velocity time graph is acceleration] [boxed note]
If signs are the same = speeding up, if signs are opposing means slowing down (ex v+ a+ or v- a- are speed up, v- a+ or v+ a- is slowing down)
An object can move without accelerating
An object can accelerate even when velocity is at 0 (ex: change in direction)