CHAPTER 2
DESCRBING MOTION : KINEMATICS IN 1D
2-1
REFERENCE FRAMES & DISPLACEMENT
2-7 FREE FALLING OBJECTS
2-5
MOTION AT CONSTANT ACCELERATION
2-3 INSTANTANEOUS VELOCITY
2-2 AVERAGE VELOCITY
2-9 GRAPHICAL ANALYSIS & NUMERICAL INTEGRATION
2-8 VARIABLE ACCELERATION; INTEGRAL CALCULUS
2-6 SOLVING PROBLEMS
2-4 ACCELERATION
DISPLACEMENT : how far the obejct is from starting point, regardless of how it got there.
DISTANCE : Traveled is measured along the actual path.
AVERAGE SPEED, V = [distance travelled (x)] / [time elapsed (t)]
Δx= x2-x1
AVERAGE VELOCITY , v ˉ = Δx / Δ t
v = dx / dt
AVERAGE ACCELERATION, Aavg : Δv / Δt
x = xo + ut + 1/2 (at^2)
v^2 = u^2 + 2as
v = u + at
v ˉ = ( u + v ) / 2
x = xo + ut - 1/2 (gt^2)
v^2 = u^2 - 2gs
v = u - at
- so, for the constant acceleration =
- Then,
- so, for the constant acceleration =
The total displacement of an object can be described as the area under the v-t curve :