Lesson 10: Summary on Equations of uniformly accelerated motion in 1D
- The equations of motion are mathematical formulas that describe how physical systems behave over time,
- specifically relating parameters such as velocity, displacement, speed, time, and acceleration.
- An object is considered to be in motion if it changes its position relative to a reference point or frame of reference over time.
- Motion can be described in two primary ways: dynamics and kinematics.
- Dynamics is concerned with the study of motion while considering the forces that cause the motion, whereas
- kinematics focuses on the motion of objects without considering the causes of the motion.
- At constant acceleration, the kinematic equations of motion are known as the SUVAT equations, derived from the definitions of displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
- These equations include:
- $V_{f}=V_{i}+at $
- $V_{av}=\frac{V_{i}+V_{f}}{2}$
- $S=\left( \frac{V_{i}+V_{f}}{2} \right)t$
- $S=V_{i}t+\frac{1}{2}a^{}t^{2}$
- $S=V_{f}t-\frac{1}{2}a^{}t^{2}$
- $V_{f}^{2}=V_{i}^{2}+2as$
- symbols used in these equations have specific meanings:
- s for displacement,
- u for initial velocity,
- v for final velocity,
- for time, and
- a for acceleration.
- These equations are vector equations, meaning the direction of the quantities must be taken into account.
- If the vectors are in the same direction, they are added;
- if they are in opposite directions, they are subtracted.