# Notes / QB

Calculus Based Physics Formulas: Mechanics

One dimensional Equations of motion (along a single vector direction)
Velocity as a function of time :
Position as a function of time:
Velocity as a function of position:

Projectile Motion
Horizontal motion
Velocity along x:
Position from position as a function of time:
Max Horizontal dist:

Vertical Motion
Velocity along y:
Position: from position as a function of time
Maximum Height:

Circular Motion
Tan.

Acc:
Total Acc (magnitude) from Pythagoras:

The Laws of Motion
Newtons Second Law:
Equilibrium Conditions:
Force of Static Friction
Force from Kinetic Friction

Force/Work
Constant Force:
Variable Force:
Hooke’s Law:
Spring Work:
Kinetic energy:
Work – kinetic energy theorem:
Power: , ,
gravitational potential energy:
conservation of mechanical energy:
elastic collision conserved moment and KE:
2d elastic (comp): ,
KE conservation for elastic:
Momentum:

Mass
Center of mass (comp):
Position vector for CM:
Continuous mas dist:
Mass of Uniform:
Linear Mass Dist:
Area Mass Dist:

Rotational Motion
angular speed:
angular acceleration: ,,
Moment of Inertia: ,,,
Rotational KE:
Work:
Net torque : ,
Work :
Power :
Angular Momentum :
Torque: :

Moments of Inertia
Hoop :
Cylinder (hollow) :
Cylinder :
Rectangular Plate :
Rod (center rotate):
Rod (end Rotate):
Solid Sphere :
Spherical Shell :