4 Acceleration Units The SI units for acceleration “m/s²” Acceleration = velocity/time = m/s/s = m/s²
5 Acceleration Vector Acceleration is a vector quantity Has both magnitude and directionSince acceleration is a vector, it can have a positive or negative value.If acceleration and velocity are in the same direction, the object speeds up.If the acceleration and velocity are in opposite directions, the object slows downs.
6 Acceleration Chart Vi a Motion + - + or - Speeding up Slowing down Constant velocitySpeeding up from restRemains at rest
7 Graphing Linear Motion The slope and shape of a single graph can describe the motion of an object’s displacement, velocity, and acceleration vs. time.Slope = rise / runRise – Dependant Variable (y-axis)Run – Independent Variable (x-axis)
8 Relating Displacement, Velocity and Acceleration On a Displacement vs. Time graphRise / Run = SlopeDisplacement / Time = VelocityThe tangent line of a single point on a (d vs. t) graph is equal to the instantaneous velocity at that moment in time.On a Velocity vs. Time graphVelocity / Time = AccelerationThe tangent line of a single point on a (v vs. t) graph is equal to the instantaneous acceleration at that moment in time.
9 Graphing Hints d vs. t V vs. t a vs. t => => => Slope Area Slope = VelocityV vs. tSlope = Accelerationa vs. tArea = VelocityV vs. tArea = Displacement=>=>=>
10 Graph of a Single Object In Motion displacementvs.timevelocityvs.timeaccelerationvs.timedvattt
11 Object In Free Fall displacement vs. time velocity vs. time accelerationvs.timedvattt