Uniformly Accelerated Motion Formulas
This page presents the fundamental equations for ruch jednostajnie przyspieszony (uniformly accelerated motion) and ruch jednostajnie opóźniony (uniformly decelerated motion). The formulas are essential for solving problems related to velocity, displacement, and acceleration in these types of motion.
For uniformly accelerated motion, the key equations are:
- Velocity equation: V = V₀ + at
- Displacement equation: S = V₀t + ½at²
These formulas apply when the motion is in the positive direction of the x-axis. For motion in the negative direction of the x-axis, the displacement equation becomes:
x(t) = x₀ - (V₀t + ½at²)
For uniformly decelerated motion, the equations are slightly modified:
- Velocity equation: V = V₀ - at
- Displacement equation: S = V₀t - ½at²
Vocabulary: V₀ represents initial velocity, V is final velocity, a is acceleration, t is time, and S is displacement.
Definition: Ruch jednostajnie przyspieszony refers to motion where velocity increases at a constant rate, while ruch jednostajnie opóźniony describes motion where velocity decreases at a constant rate.
Highlight: The equations for motion against the x-axis involve a sign change in the displacement formula, which is crucial for correctly solving problems in different directions.
Example: In ruch jednostajnie przyspieszony klasa 7 (uniformly accelerated motion for 7th grade), students might encounter problems using these formulas to calculate how far a car travels in a certain time given its initial velocity and acceleration.
These equations form the foundation for understanding and analyzing uniformly accelerated and decelerated motion, enabling students to solve a wide range of physics problems involving changing velocities and displacements over time.
