Falling Objects Falling objects experience uniform acceleration “Free fall” = the motion of falling objects in the absence of air resistance Free-fall acceleration on Earth “the acceleration of gravity” g m/sec 2

Objects Moving Upward Objects moving upward also experience uniform acceleration (gravity) Rising: velocity is positive, acceleration is negative, slowing down At peak: velocity is zero, acceleration is negative, instantaneous pause Falling: velocity is negative, acceleration is negative, speeding up

Time-Velocity Graph

The Commonly Used Equations, v.g Displacement after a period of uniform acceleration ∆x = v i ∆t + ½ g (∆t) 2 x f – x i = v i ∆t + ½ g (∆t) 2 x f = x i + v i ∆t + ½ g (∆t) 2

The Commonly Used Equations, v.g Final velocity after any displacement v f 2 = v i g ∆x

Vectors Magnitude and direction – displacement, velocity, acceleration (oh, yeah!) Represented graphically as an arrow (from tail to tip) When two or more vectors are involved a “resultant” vector can be found by adding the individual vectors together – the new tail starts at the old tip vectors can be moved parallel to themselves vectors can be added in any order vector subtraction = the addition of an opposite vector