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MECHANICS

Newton's First Law of Motion: Inertia

Linear Motion

Newton's Second Law: Force and Acceleration

Newton's Third Law: Action and Reaction

Momentum

Energy

Rotational Motion

Gravity

Projectile and Satellite Motion

Newton's First Law of Motion: Inertia

Linear Motion

Newton's Second Law: Force and Acceleration

Newton's Third Law: Action and Reaction

Momentum

Energy

Rotational Motion

Gravity

Projectile and Satellite Motion

Linear Motion

Motion along a straight line: position, velocity, acceleration, and the relationships between them.

Initial velocity

Acceleration

Initial position

Sign convention: +x = to the right

Given

x0=0.00 m,v0=2.00 m/s,a=0.00 m/s2x_0 = 0.00\,\mathrm{m},\quad v_0 = 2.00\,\mathrm{m/s},\quad a = 0.00\,\mathrm{m/s}^2

Kinematic equations

v(t)=v0+a⋅tv(t) = v_0 + a \cdot t
x(t)=x0+v0⋅t+12a⋅t2x(t) = x_0 + v_0 \cdot t + \frac{1}{2} a \cdot t^2

At current time

t=0.00 s⇒x=0.00 m,v=2.00 m/st = 0.00\,\mathrm{s} \quad \Rightarrow \quad x = 0.00\,\mathrm{m},\quad v = 2.00\,\mathrm{m/s}

Position vs Time

Velocity vs Time

Acceleration vs Time