PHYS ch. 2
relating velocity and displacement for constant acceleration motion
(vx)f²=(vx)i²+2ax∆x
Slope of graph
Rise/ Run (Δx/Δt)
Acceleration
The rate at which velocity changes ax = ∆vx/∆t x= X direction / x axis (horizontal) ay= ∆vy/∆t y= y direction / y axis (vertical)
Representing velocity
Vx is either > or < zero Vy is either > or < zero V= Velocity X= X axis (left or right) Y= Y axis (up or down)
Motion along a horizontal line
Vx= Δx/Δt
Motion along a vertical axis
Vy=Δy/Δt
position equation for an object with constant acceleration
Xf= Xi + (Vx)i ∆t+1/2ax (Δt)²
Area of a triangle
a = (1/2) bh Area = 1/2 x base x height
free fall acceleration
acceleration due to gravity
velocity equation for an object with constant acceleration
ax = ΔVx/Δt = (Vx)f - (Vx)i / Δt rearrange= (Vx)f = (Vx)i + ax Δt
position equation for an object in uniform motion (Vx is constant)
xf = xi + Vx Δt or Δx = VxΔt
Ratio Reasoning
y2/y1 = Cx2/Cx1 = X2/X1 x and why are promotional so doubling x = doubling y etc. or Δx2/Δx1 = Δt2/Δt1
finding time
Δt= ΔVx/ax