Kinematics Part 2 (Computations Naman) Physics Explained In Tagalog/Filipino

Homemade Math
30 Aug 202022:06

Summary

TLDRThis educational video script covers fundamental concepts in physics, focusing on velocity and acceleration. It explains the calculation of velocity as displacement over time, using examples to demonstrate how to find velocity in different scenarios, including when direction is specified. The script also delves into acceleration, detailing its computation as the change in velocity over time. Practical examples, such as a car's deceleration when a deer crosses the road, are used to illustrate these principles, making the complex physics concepts accessible and engaging.

Takeaways

  • 📏 The formula for calculating velocity is displacement over time, which is used to find the boy's velocity in the video.
  • 🕒 The boy's velocity is determined to be one meter per minute to the east, based on a six-meter displacement in six minutes.
  • 📉 The script discusses the Cartesian plane and its relevance to physics, emphasizing its use for understanding motion.
  • 🔢 The calculation of velocity involves finding the hypotenuse for the displacement and dividing it by time, resulting in 1.2 meters per minute.
  • ⏱️ The script explains the conversion of velocity from meters per minute to meters per second, highlighting the importance of time units.
  • 📉 The video uses a problem-solving approach to demonstrate how to calculate acceleration, which is the change in velocity over time.
  • 🔄 The script clarifies that if acceleration and velocity are in the same direction, the object is accelerating, and if they are in opposite directions, the object is decelerating.
  • 🚗 An example of deceleration is given with a car stopping from 60 meters per hour, illustrating how to calculate deceleration.
  • 📌 The script emphasizes the importance of direction in vector calculations, noting that direction affects the sign of the calculated values.
  • 🎓 The educational content is designed to help viewers understand and apply basic physics concepts related to motion and vectors.

Q & A

  • What is the formula for calculating velocity?

    -The formula for calculating velocity is displacement over time, which can be represented as v = Δx/Δt where v is velocity, Δx is displacement, and Δt is the time taken.

  • How do you determine the direction of velocity?

    -The direction of velocity is determined by the direction of displacement. If the displacement is towards the east, the velocity is positive in the eastward direction. Conversely, if it's towards the west, the velocity is negative or westward.

  • What is the velocity of the boy who took six minutes to reach a box 6 meters away?

    -The boy's velocity is 1 meter per minute since he covered a displacement of 6 meters in 6 minutes.

  • How is the Cartesian plane used in physics?

    -The Cartesian plane is used in physics to represent positions and movements in a two-dimensional space. It helps in understanding and solving problems involving coordinates and directions.

  • What is the velocity of an object moving 1.2 meters per minute in a positive direction?

    -The velocity is 1.2 meters per minute, with the positive sign indicating the direction is towards the positive x-axis or to the right.

  • How do you convert velocity from meters per minute to meters per second?

    -To convert velocity from meters per minute to meters per second, you divide the velocity by 60 since there are 60 seconds in a minute.

  • What is the formula for calculating acceleration?

    -Acceleration is calculated using the formula a = Δv/Δt where a is acceleration, Δv is the change in velocity, and Δt is the time over which the change occurs.

  • If an object's velocity changes from 38 m/s to 68 m/s in 5 seconds, what is its acceleration?

    -The acceleration is 6 meters per second squared (6 m/s²) since the change in velocity is 68 - 38 = 30 m/s over 5 seconds.

  • What is the difference between acceleration and deceleration?

    -Acceleration occurs when the velocity of an object increases, while deceleration occurs when the velocity decreases. Both are measured using the same formula, but the direction of the change in velocity determines whether it's acceleration or deceleration.

  • If a car decelerates from 60 meters per hour to a stop in 25 seconds, what is its deceleration?

    -The deceleration is -0.007 meters per second squared (-0.007 m/s²) since the change in velocity is from 60 m/h (which is 60/3.6 ≈ 16.67 m/s) to 0 m/s over 25 seconds.

Outlines

00:00

📏 Calculation of Velocity and Direction

The paragraph discusses the concept of velocity, defined as displacement over time. It uses an example where a boy takes six minutes to walk six meters eastward, calculating his velocity as one meter per minute to the east. The explanation includes the use of a Cartesian plane and vectors to describe direction. The velocity is broken down into its magnitude and direction, with eastward movement being considered positive.

05:23

🔢 Detailed Velocity Calculation and Directional Vectors

This section delves deeper into velocity calculations, including a scenario where a person walks towards a box, and the velocity is determined by the displacement and time taken. The explanation covers the use of vectors to denote direction, with positive and negative values indicating rightward and leftward movements, respectively. The paragraph also introduces the concept of the Cartesian plane in physics and its relevance to understanding motion.

10:31

⏱️ Time Conversion and Acceleration

The paragraph explains the conversion of time from minutes to seconds, necessary for calculating velocity in different units. It then moves on to discuss acceleration, which is the rate of change of velocity over time. An example is given where an object's velocity changes from 38 meters per second to 68 meters per second over five seconds, leading to a calculation of acceleration. The concept of vectors is again emphasized to describe the direction of acceleration.

15:31

🚗 Deceleration Example and Acceleration Direction

This part of the script provides a real-world example of deceleration, describing a car that comes to a stop from 60 meters per hour over 25 seconds. The calculation of deceleration is detailed, showing how to find the change in velocity over time. The paragraph also discusses the relationship between the direction of acceleration and velocity, explaining when an object is accelerating or decelerating based on whether these vectors are in the same or opposite directions.

20:34

🎬 Conclusion and Encouragement

The final paragraph serves as a conclusion, summarizing the previous discussions on velocity and acceleration. It encourages the viewer to apply the concepts learned to solve related physics problems, suggesting confidence in their understanding of motion and its mathematical descriptions.

Mindmap

Keywords

💡Velocity

Velocity is defined as the rate of change of displacement with respect to time. In the video, it is calculated using the formula displacement over time, where displacement is the distance moved in a specific direction. The video explains how to determine velocity by considering both the magnitude and the direction of movement, as seen when the boy walks towards the box and the calculation of his velocity as 'one meter per minute to the east.'

💡Displacement

Displacement refers to the change in position of an object, typically represented by a vector pointing from the initial to the final position. In the script, displacement is used to calculate velocity and is described as the distance between the starting point (house) and the endpoint (box), which is six meters.

💡Cartesian Plane

The Cartesian plane, also known as the coordinate plane, is a two-dimensional plane that uses a grid formed by two perpendicular axes, usually the x-axis and y-axis. The video mentions the Cartesian plane in the context of representing positions and movements in physics, emphasizing its importance for understanding concepts like velocity and acceleration.

💡Acceleration

Acceleration is the rate of change of velocity with respect to time. It is a vector quantity that has both magnitude and direction. The video explains acceleration by showing how to calculate it from the change in velocity over a period of time, as illustrated by the car example where it changes from 38 meters per second to 68 meters per second.

💡Direction

Direction in the context of the video refers to the orientation of movement or force along a specific axis. It is crucial for understanding vectors like velocity and acceleration. The video uses the terms 'towards the east' and 'positive x-axis' to denote direction, which helps in determining whether the movement is towards or away from a certain point.

💡Magnitude

Magnitude refers to the size or length of a vector quantity, disregarding its direction. In the video, the magnitude of velocity is calculated by considering the distance moved per unit of time. For instance, the boy's velocity magnitude is given as 'two meters per minute' when walking towards the box.

💡Deceleration

Deceleration is the negative acceleration that occurs when an object slows down. The video provides an example of a car coming to a stop, where the deceleration is calculated by determining the change in velocity over time, resulting in a negative value indicating the car is slowing down.

💡Hypotenuse

The hypotenuse is the longest side of a right-angled triangle, opposite the right angle. In the video, the hypotenuse is used in the context of calculating the final position in a right-angled coordinate system, which helps in determining the overall displacement when the direction of movement is not aligned with the axes.

💡Time

Time is a crucial factor in calculating velocity and acceleration, as it represents the interval over which displacement or change in velocity occurs. The video script mentions time in minutes and seconds, emphasizing the need for consistency in units when performing calculations, such as converting minutes to seconds to find velocity in meters per second.

💡Vector

A vector is a quantity that has both magnitude and direction, unlike a scalar which has only magnitude. In the video, vectors are used to represent quantities like velocity and acceleration, where the direction indicates the axis (positive or negative) along which the object is moving or the force is acting.

Highlights

Introduction of the concept of velocity as displacement over time

Calculation of velocity with displacement of six meters over six minutes

Explanation of velocity vector with a direction towards the east

Illustration of the Cartesian plane in physics for understanding vectors

Calculation of velocity with a final position of 1.2 meters per minute

Clarification of the direction of velocity as positive towards the right

Introduction to the concept of acceleration as the change in velocity over time

Example calculation of acceleration with a change in velocity from 38 m/s to 68 m/s

Discussion on the direction of velocity and acceleration in relation to the x-axis

Explanation of how to determine if an object is accelerating or decelerating based on the direction of acceleration and velocity

Real-world example of a car's deceleration when a deer crosses the road

Calculation of the car's deceleration from 60 meters per hour to a stop in 25 seconds

Conversion of velocity from meters per minute to meters per second

Challenge to the viewer to solve a problem involving velocity in meters per second

Final encouragement and closing of the educational segment

Transcripts

play00:10

good luck

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roll the intro

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[Music]

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magnitude at direction all

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and walk towards the box on the east as

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shown in the figure down below

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it took the boy six minutes to reach the

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box what

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is his velocity so so i'm gonna

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velocity unknown formula and velocity

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good displacement over time

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now you displacement

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is six meters screen

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displacement six meters six meters

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something like link

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uh distance uh box at the house

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in time six minutes divide and i'll get

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one meter per minute to the east or

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right

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tandan vectors velocity so that part

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lagging my direction all right

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now at the embargo

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[Music]

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[Music]

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region is a carnation plane a six-year

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ending point

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yes kagame italian cartesian plain

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detail

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actually for the rest of the subjects in

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physics

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cartesian plane ecosystem

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[Music]

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a what is his velocity when he was

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walking towards the box

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all right so velocity

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is a formula displacement over time

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now

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final position minus initial position

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hindi hypotenuse

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all right in time eleven o'clock

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proportion eleven five

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five minutes so once i got

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1.2 meters per minute in direction

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positive sign velocity and lag in my

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direction

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the definite direction i am positive

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sine

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i b sub in towards the positive x

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axis or to the right

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what is

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[Music]

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is 1106 maximola

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1111

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divides a calculator and i'll get

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two so negative two

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meters per minute so

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velocity magnitude 2 meters per minute

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negative sign direction

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in the bottom

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[Music]

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[Applause]

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now don't ask the next problem

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i dare you to solve this problem

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soon

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[Music]

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velocity in meters per second so sub

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common velocity

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velocity is displacement over time or

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final minus initial allocation

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[Laughter]

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[Music]

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it's actually 0.79 young spider

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to migration point b which is 0.79

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meters

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above my origin all right

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your initial position

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in there it's two point six

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plus zero point seventy nine tandem two

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point six hanging below

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[Music]

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important now

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my time 7.5 minutes

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therefore as i got a negative 0.35

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meters per minute

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now postmona

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[Music]

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one minute how many seconds are there in

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one minute

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60 sample data 60 numerator or

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denominator

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denominator

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minutes simplify and i'll get

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0.0058 meters per second

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negative means downwards opinion

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direction

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vectors

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[Music]

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[Applause]

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[Music]

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acceleration is changing velocity over

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time

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vector

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i'm moving at 38 meters per second to

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the left change

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here and after 5 seconds its velocity

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becomes 68 meters per second

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covering left button what is its

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acceleration you don't hit the screen

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that's acceleration change in velocity

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over time

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it's a negative six state good

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direction elevation negative sign

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new negatives in a sub nepa punta

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objects a negative

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side not x-axis or

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[Music]

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velocity

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as a velocity final position minus

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initial position

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acceleration final velocity minus

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initial velocity domain

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now velocity n maxima become velocity

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capacitor vector at capac vector

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[Music]

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okay

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anyways in time

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five seconds now

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calculator and i'll get negative

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six meters per second per second

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or algebra

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negative 6 meters per second squared

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now

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[Music]

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in bag velocity six meters every second

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you know definition acceleration

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velocity is the terms

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the car is moving to the left you need

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to be

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signs nalang this case keeping a

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negative

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going to the negative side of x-axis

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[Music]

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acceleration and velocity are in the

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same direction the object

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is accelerating if the acceleration and

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velocity

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are in the opposite direction the object

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is decelerating

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screen velocity positive side

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x or negative sigma x negative sine x

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acceleration direction

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negative side of x resident direction

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[Music]

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at 60 meters per hour meters meters

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enough

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deer suddenly crossed the road naked the

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driver to hit the brakes

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it took 25 seconds for the car to stop

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what was its deceleration now

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[Music]

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change in velocity over time now final

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velocity

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minus initial

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[Music]

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positive 60 meters per hour

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in direction

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velocity and vector direction positive

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minus

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positive 60. now

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time 25 seconds

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60 over 25

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[Music]

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our denominator okay

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paramount in seconds so simplify column

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numerator

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[Music]

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negative 0.17

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meter per second divided by 25 seconds

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and i'll get negative 0.007

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now accelerating

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or decelerating

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[Music]

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hmm

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good luck

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[Music]

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you

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