Summary of MOVIMENTO UNIFORMEMENTE VARIADO - (MUV) - [CINEMÁTICA DO ZERO]

Summary of the Video on Uniformly Varied Motion (MUV)

The video provides a comprehensive overview of Uniformly Varied Motion (MUV), emphasizing its importance for students preparing for exams like the Enem. The main concepts and methodologies discussed include the definition of MUV, its characteristics, and the equations used to solve related problems.

Main Ideas and Concepts:

Definition of Uniformly Varied Motion (MUV):
- MUV is characterized by constant acceleration, meaning the acceleration does not change over time.
- Example: An object starts from rest and increases its speed by a constant rate (e.g., 3 m/s every second).
Acceleration:
- In the provided example, the acceleration is constant at 3 meters per second squared.
Key Equations for MUV:
- Space Equation (Sorvetão):
  - Formula: S = S_0 + V_0 ċ t + \frac{1}{2} a t^2
  - Where:
    - S = final position
    - S_0 = initial position
    - V_0 = initial velocity
    - t = time
    - a = constant acceleration
- Velocity Equation (Nightclub):
  - Formula: V = V_0 + a ċ t
  - Where:
    - V = final velocity
    - V_0 = initial velocity
    - a = acceleration
    - t = time
- Torricelli Equation:
  - Formula: V^2 = V_0^2 + 2a \Delta S
  - This equation does not include time and is used when time is not a factor in the problem.

Methodology for Problem Solving:

Example Problem:
- A vehicle moving at 20 m/s decelerates at 5 m/s² until it stops.
- Two main questions to solve:
  - How long does it take to stop?
  - What is the displacement until it stops?
Steps to Solve:
- Determine the Orientation:
  - Define the positive direction (e.g., to the right).
- Calculate Time to Stop:
  - Use the Velocity Equation: 0 = 20 + (-5) ċ t
  - Solve for t: t = \frac{20}{5} = 4 seconds.
- Calculate Displacement:
  - Using the Space Equation:
    - S = S_0 + V_0 ċ t + \frac{1}{2} a t^2
    - Substitute values: S = 0 + 20 ċ 4 + \frac{1}{2} \cdot (-5) \cdot (4^2)
    - Solve for S: displacement = 40 meters.
- Alternative Calculation:
  - Use the Torricelli Equation to confirm the displacement:
    - 0 = 20^2 + 2 \cdot (-5) \cdot \Delta S
    - Solve for \Delta S: displacement = 40 meters.
Conclusion:
- Both methods yield the same displacement, illustrating the usefulness of both equations in different contexts.

Speakers/Sources:

Felipe (primary speaker)

Notable Quotes

— 03:21 — « People usually remember this equation as Sorvetão because in our uniform motion video we learned about ice cream. »

— 04:28 — « I usually read it as if it were a word, voat, but there are other forms, atheist grandpa, tailor grandpa, alive and yours, flying worms attack the earth. »

— 05:40 — « Calm down. Yes, you can. »

— 13:51 — « And until stopping this car traveled at 40 connect me to the kidneys. »