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UPCAT PhysicsKinematics & Speed, Velocity, AccelerationSlides

Presentation-style slides for Kinematics & Speed, Velocity, Acceleration — the fastest way to cover the chapter if you are reviewing on your phone between classes or shifts. Covers everything University of the Philippines tests on this chapter in the UPCAT Physics subtest.

Exam context

For the University of the Philippines College Admission Test, University of the Philippines tests Physics under a "Core" label, with Kinematics & Speed, Velocity, Acceleration in the 2nd slot across 6 chapters. UPCAT candidates must clear the UPG ≤ 2.2 typical cut on the 2026 paper, which draws about 20 Physics questions. Date to watch: Mid-2026 (announced by UP Admissions).

Kinematics & Speed, Velocity, Acceleration - Slides

Kinematics is the branch of physics that describes the motion of objects without considering the forces that cause the motion. In this chapter, we will explore the fundamental concepts of speed, velocity, and acceleration - the building blocks for understanding how objects move in our world. These concepts are essential for UPCAT and other college entrance exams, as they form the foundation for more advanced physics topics.

Slides

Introduction to Kinematics

Kinematics allows us to describe and predict how objects move. Whether it's a jeepney traveling down EDSA or a basketball being shot into a hoop, the same principles apply.

Notes

Emphasize that kinematics is purely descriptive - we're not asking WHY things move, just HOW they move.

Topic

Introduction to Kinematics

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Mermaid Diagram

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mindmap root((Kinematics)) Motion Description Position Displacement Distance Rate of Motion Speed Velocity Change in Motion Acceleration Deceleration Applications Transportation Sports Engineering

Type

mermaid_mindmap

Description

Mind map showing the main components and applications of kinematics

Distance vs Displacement

Think of walking around a school quadrangle. Your distance might be 400 meters (the perimeter), but your displacement could be zero if you return to your starting point.

Notes

Use familiar locations like school campus or local landmarks to make the concept relatable.

Topic

Distance and Displacement

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flowchart LR A[Starting Point] -->|Path 1: 300m| B[End Point] A -->|Path 2: 500m via detour| B A -.->|Displacement: 200m direct| B style A fill:#e1f5fe style B fill:#e8f5e8

Type

mermaid_flowchart

Description

Diagram showing how different paths (distance) can lead to the same displacement between two points

Understanding Speed

Speed tells us how fast an object is moving regardless of direction. It's the rate at which distance is covered over time.

Notes

Emphasize unit conversion between m/s and km/h as this often appears in exams.

Topic

Speed

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flowchart TD A[fa:fa-calculator Speed Calculation] --> B[Distance Traveled] A --> C[Time Taken] B --> D[Speed = Distance ÷ Time] C --> D D --> E[fa:fa-check Result in m/s or km/h] style D fill:#fff3e0

Type

mermaid_flowchart

Description

Flowchart showing the process of calculating speed from distance and time

Speed Formula and Calculations

The speed formula is fundamental in physics. Remember that average speed considers the entire journey, while instantaneous speed is like reading a speedometer at one moment.

Notes

Practice unit conversions as these are common sources of errors in exams.

Topic

Speed Calculations

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flowchart TD A[Given Information] --> B[Distance = 12 km] A --> C[Time = 30 min = 0.5 h] B --> D[fa:fa-calculator Apply Formula] C --> D D --> E[Speed = 12 km ÷ 0.5 h] E --> F[Speed = 24 km/h] style F fill:#e8f5e8

Type

mermaid_flowchart

Description

Step-by-step calculation example showing how to find speed using the basic formula

Understanding Velocity

Velocity is speed with direction. Two cars moving at 60 km/h have the same speed, but if one goes north and the other south, they have different velocities.

Notes

Emphasize that direction is crucial for velocity - use compass directions or positive/negative conventions.

Topic

Velocity

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Mermaid Diagram

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flowchart LR A[Speed: 60 km/h] --> B[Just magnitude] C[Velocity: 60 km/h North] --> D[Magnitude + Direction] B --> E[fa:fa-circle Scalar Quantity] D --> F[fa:fa-arrow-right Vector Quantity] style E fill:#ffe0b2 style F fill:#e1f5fe

Type

mermaid_flowchart

Description

Comparison between speed (scalar) and velocity (vector) showing the importance of direction

Velocity Formula and Examples

Unlike speed, velocity can be zero even when an object is moving. If you run around a track and return to your starting point, your average velocity is zero.

Notes

Use the round trip example to clarify the difference between distance and displacement effects on speed vs velocity.

Topic

Velocity Calculations

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Mermaid Diagram

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sequenceDiagram participant S as Start Position participant M as Midpoint participant E as End Position S->>M: +50m displacement Note over M: Positive velocity M->>E: +50m displacement Note over E: Total displacement = +100m E-->>S: Return journey Note over S: Net displacement = 0m

Type

mermaid_sequence

Description

Sequence showing how displacement and velocity relate in a round trip journey

Introduction to Acceleration

Acceleration describes how quickly velocity changes. When a jeepney starts from rest and reaches 20 m/s in 10 seconds, it's accelerating at 2 m/s².

Notes

Connect acceleration to everyday experiences like riding in vehicles or elevators.

Topic

Acceleration Introduction

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stateDiagram-v2 [*] --> Rest: Initial state Rest --> Accelerating: Apply force Accelerating --> ConstantVelocity: Remove force ConstantVelocity --> Decelerating: Apply brakes Decelerating --> Rest: Come to stop Rest --> [*]

Type

mermaid_stateDiagram

Description

State diagram showing different phases of motion and how acceleration changes during each phase

Acceleration Formula and Calculations

The acceleration formula shows how velocity changes over time. The Greek letter delta (Δ) means 'change in'.

Notes

Practice with both positive and negative acceleration examples to reinforce the concept.

Topic

Acceleration Calculations

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S8

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Mermaid Diagram

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flowchart TD A[fa:fa-play Initial Velocity v_i] --> B[fa:fa-clock Time Interval t] C[fa:fa-fast-forward Final Velocity v_f] --> B B --> D[fa:fa-calculator Calculate Change] D --> E[Δv = v_f - v_i] E --> F[a = Δv / t] F --> G[fa:fa-check Result in m/s²] style F fill:#fff3e0 style G fill:#e8f5e8

Type

mermaid_flowchart

Description

Step-by-step process for calculating acceleration using initial velocity, final velocity, and time

Types of Motion

Different types of motion are characterized by how velocity and acceleration behave. Understanding these helps us apply the right kinematic equations.

Notes

Relate each type of motion to familiar examples from daily life.

Topic

Types of Motion

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mindmap root((Types of Motion)) Uniform Motion Constant velocity Zero acceleration Straight line Uniformly Accelerated Constant acceleration Changing velocity Free fall example Non-uniform Motion Changing acceleration Variable velocity Real world motion Circular Motion Curved path Centripetal acceleration Constant speed possible

Type

mermaid_mindmap

Description

Classification of different types of motion based on acceleration and velocity patterns

Kinematic Equations

The kinematic equations are powerful tools for solving motion problems. Each equation relates different variables, so choose the one that uses your known values.

Notes

Emphasize that students should identify known and unknown variables first before choosing an equation.

Topic

Kinematic Equations

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flowchart TD A[Choose Equation] --> B{What do you know?} B -->|v₀, a, t| C[v = v₀ + at] B -->|v₀, a, t| D[s = v₀t + ½at²] B -->|v₀, v, a| E[v² = v₀² + 2as] B -->|v₀, v, t| F[s = ½v₀ + v×t] C --> G[fa:fa-calculator Solve] D --> G E --> G F --> G style G fill:#e8f5e8

Type

mermaid_flowchart

Description

Decision tree for selecting the appropriate kinematic equation based on known variables

Free Fall Motion

Free fall is a special case of uniformly accelerated motion. Whether it's a coin or a coconut, both accelerate at 9.8 m/s² when falling (ignoring air resistance).

Notes

Emphasize that acceleration is constant throughout free fall, even at the highest point.

Topic

Free Fall

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Mermaid Diagram

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sequenceDiagram participant T as Thrown Object participant G as Gravity participant M as Maximum Height T->>G: Initial upward velocity Note over G: g = 9.8 m/s² downward G->>T: Continuous downward acceleration T->>M: Velocity decreases to zero Note over M: Still accelerating downward M->>T: Velocity increases downward T->>G: Returns to starting height

Type

mermaid_sequence

Description

Sequence diagram showing how gravity affects an object thrown upward throughout its flight

Projectile Motion Basics

Projectile motion combines horizontal motion (like throwing a ball sideways) with vertical motion (free fall). Think of a basketball shot - it moves forward while falling down.

Notes

Use familiar sports examples like basketball or soccer to illustrate projectile motion concepts.

Topic

Projectile Motion

Slide Id

S12

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12

Mermaid Diagram

Code

flowchart LR A[Projectile Motion] --> B[Horizontal Component] A --> C[Vertical Component] B --> D[Constant velocity] B --> E[No acceleration] C --> F[Initial velocity upward] C --> G[Acceleration = g downward] D --> H[Distance = v₀ₓ × t] F --> I[Height = v₀ᵧt - ½gt²] style B fill:#e3f2fd style C fill:#fff3e0

Type

mermaid_flowchart

Description

Breakdown of projectile motion into horizontal and vertical components with their respective characteristics

Graphs in Kinematics

Graphs are powerful tools for visualizing motion. The slope and area under curves provide important information about velocity, acceleration, and displacement.

Notes

Practice reading and interpreting graphs as these are common in UPCAT physics sections.

Topic

Kinematic Graphs

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Mermaid Diagram

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flowchart TD A[Position-Time Graph] --> B[Slope = Velocity] C[Velocity-Time Graph] --> D[Slope = Acceleration] C --> E[Area = Displacement] F[Acceleration-Time Graph] --> G[Area = Change in Velocity] B --> H[fa:fa-line-chart Straight line = Constant velocity] D --> I[fa:fa-line-chart Straight line = Constant acceleration] style B fill:#e8f5e8 style D fill:#fff3e0 style E fill:#e1f5fe

Type

mermaid_flowchart

Description

Summary of how to interpret different kinematic graphs and extract motion information

Problem-Solving Strategy

A systematic approach helps solve kinematics problems efficiently. Take time to organize information before jumping into calculations.

Notes

Emphasize the importance of checking answers for reasonableness - does a car really accelerate to 1000 m/s?

Topic

Problem-Solving Strategy

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S14

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flowchart TD A[fa:fa-file-text Read Problem] --> B[fa:fa-list Identify Given Values] B --> C[fa:fa-question Identify Unknown Values] C --> D[fa:fa-compass Define Coordinate System] D --> E[fa:fa-calculator Choose Equation] E --> F[fa:fa-pencil Substitute and Solve] F --> G[fa:fa-check Check Units and Logic] G --> H[fa:fa-lightbulb Final Answer] style H fill:#e8f5e8

Type

mermaid_flowchart

Description

Step-by-step problem-solving strategy for kinematics problems

Chapter Summary and Key Takeaways

Kinematics provides the mathematical tools to describe motion. These concepts are fundamental for understanding more advanced physics topics and are essential for college entrance exams.

Notes

Review this summary before exams to ensure all concepts are understood and interconnected.

Topic

Chapter Summary

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mindmap root((Kinematics Summary)) Basic Concepts Distance vs Displacement Speed vs Velocity Acceleration Key Formulas v = d/t v = s/t with direction a = Δv/t Special Cases Free Fall Projectile Motion Circular Motion Problem Solving Identify variables Choose equations Check answers Applications Transportation Sports Engineering

Type

mermaid_mindmap

Description

Comprehensive summary of all key concepts, formulas, and applications covered in the kinematics chapter

References

  • BRAINBOX UPCAT AND OTHER COLLEGE ENTRANCE - Physics.pdf
  • Standard Physics textbooks for Grade 11-12 students
  • UPCAT Physics examination syllabi and requirements
  • Philippine Department of Education K-12 Physics curriculum

In summary

Understanding kinematics is crucial for success in physics and college entrance examinations. The concepts of speed, velocity, and acceleration form the foundation for more advanced topics in mechanics, including Newton's laws, energy, and momentum. Practice applying these concepts to real-world situations and always remember to pay attention to the vector nature of velocity and acceleration. These fundamentals will serve you well in your physics studies and help you analyze the motion of objects in everyday life.

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