Motion in One Dimension Kinematics (continued)

Describing Motion in 1-D Consider uniform acceleration (a = constant) Goal is finding equations for: Velocity as a function of time Displacement as a function of time Velocity as a function of displacement Use definitions for _________ acceleration and _________ velocity

Motion in 1-D with Uniform a Procedure: ______________ manipulate equations Remove all f subscripts Change all i subscripts to 0 Let t0 = ____ First: derive expression v as function of t ___________________________________________

Evaluate Velocity for Uniform a Velocity is ________ function of time (v = v0 + at) Average velocity is _________ between v and v0 Equation [2.7]

Summary of Motion in 1-D with Constant a When a = 0 these equations correspond to _________ motion (v = constant)

Freely Falling Objects The only acceleration is due to _________ There is no air __________ to impede the motion Gravity provides a constant (uniform) acceleration _____________________________ Replace x with y to indicate vertical position in equations of motion

Summary of Free Fall Equations Up is the positive y direction.

Typical Vertical 1-D Problems Dropping objects Propelling objects straight up What you might be asked: Find velocity at certain times or displacements Find time for a certain displacement or velocity Find height at a certain time or velocity Find the maximum height