Eternal Equations
The name of the set of equations of motion with constant acceleration
Kinematic Equations
2 steps forward, one step back. My displacement is ___
1 step forward
x
position
Throwing a Basketball
Curvilinear Motion
Newton
The derivative of a constant
0
If I have a velocity equation, I need to _____ the equation to get acceleration
derive, take derivative of
x' (or x dot)
velocity, rate of change of position
sliding down a ramp
curvilinear motion
Newton's first law
object in motion stays in motion
The constant value in the equation below:
Vf = Vo + a(t2 - t1)
a
Acceleration is always constant for our kinematic equations
V(t) = 2t^2
x(t) = ?
x(t) = 4t
Acceleration due to gravity in ft/s^2
32.2
running in a straight line
rectilinear motion
Newton's 2nd law
F = m*a
Finding the magnitude of a velocity vector with an x, y, and z component
(Vx2 + Vy2 + Vz2)1/2
a(t) = 3x2 + 9x + 1/3
@ t = 0, x = 0, v = 0, a = 1/3
v(t) = ?
v(t) = x3 + (9/2)x2 + (1/3)x
The value of horizontal acceleration during free fall
0
bullet fired from a gun
rectilinear motion
Magnitude of a force vector equation
(Fx2 + Fy2 + Fz2)1/2
Normal acceleration
An = v2/r
What is the velocity equation in the y direction?
x(t) = 2t
y(x) = 3x
Vy(t) = 6
The direction of velocity when moving in a circle
Tangential
Someone running, observed by someone else at a different location
Relative motion
The starting point for any pulley problem
The datum