Kinematik Formelsammlung (Kinematics Formula Collection)

This comprehensive guide presents essential formulas and concepts for kinematics in physics, focusing on gleichförmige Bewegung (uniform motion) and gleichmäßig beschleunigte Bewegung (uniformly accelerated motion).

The document begins by defining key variables and their units:

• s (distance) in meters [m]
• t (time) in seconds [s]
• v (velocity) in meters per second [m/s]
• a (acceleration) in meters per second squared [m/s²]

For gleichförmige Bewegung (uniform motion), where velocity is constant, the following formulas are presented:

Definition: Uniform motion occurs when velocity remains constant over time.

1. Basic velocity formula: v = s / t
2. Time calculation: t = s / v
3. Distance with initial position: s = v · t + s₀

Vocabulary: v₀ represents initial velocity, and s₀ represents initial position.

The guide also introduces the concept of average velocity: v = (s₁ + s₂) / (t₁ + t₂)

For gleichmäßig beschleunigte Bewegung (uniformly accelerated motion), where acceleration is constant, three key relationships are provided:

1. Velocity-Time Law: v = a · t + v₀

   • Rearranged for acceleration: a = (v - v₀) / t

2. Distance-Time Law: s = ½ · a · t² + v₀ · t + s₀

   • Simplified without initial velocity: s = ½ · a · t²

3. Velocity-Distance Law: v = √(2 · a · s)

Example: The formula s = ½ · a · t² + v₀ · t + s₀ can be used to calculate the distance traveled by an object under constant acceleration, considering its initial velocity and position.

The document concludes with a useful conversion between kilometers per hour (km/h) and meters per second (m/s):

Highlight: 1 m/s = 3.6 km/h

This conversion is particularly helpful when solving problems involving different units of speed.

Example: To convert 5 m/s to km/h, multiply by 3.6: 5 m/s * 3.6 = 18 km/h

This Kinematik Formelsammlung pdf serves as an excellent reference for students studying physik: formeln, tabellen (physics formulas and tables), providing a concise yet comprehensive overview of key kinematics concepts and equations.