UPCAT Physics — Kinematics & Speed, Velocity, AccelerationRevision Notes
Final-week revision notes for Kinematics & Speed, Velocity, Acceleration. If you have already studied the full chapter, this page is your go-to refresher before sitting the UPCAT. Compact, high-yield, and aligned with what University of the Philippines tests in the Physics subtest.
Exam context
The University of the Philippines College Admission Test is conducted by University of the Philippines and is scheduled for Mid-2026 (announced by UP Admissions). The Physics subtest is marked as "Core" in the official pattern, and Kinematics & Speed, Velocity, Acceleration appears in position 2nd of 6 in the UPCAT Physics review rotation. Passing mark: UPG ≤ 2.2 typical. Recent UPCAT 2026 papers have drawn roughly 20 questions from this subject.
Kinematics & Speed, Velocity, Acceleration - Revision notes
Kinematics is the branch of mechanics that describes the motion of objects without considering the forces that cause the motion. This chapter covers fundamental concepts of motion including speed, velocity, and acceleration. Understanding these concepts is crucial for solving motion problems and forms the foundation for more advanced physics topics. These concepts appear frequently in UPCAT and other college entrance exams.
Sections
Formulas
Example
A jeepney travels 120 km in 3 hours. Average speed = 120 km ÷ 3 h = 40 km/h
Formula
Average speed = distance moved / time taken
Variables
distance (d) in meters, time (t) in seconds
Application
Used to calculate how fast something moves over a period of time
Exam Tips
- Always check units in your final answer
- Remember: speed = distance/time, not displacement/time
- Practice unit conversions between m/s and km/h
Key Points
- Speed is a scalar quantity that measures how fast an object moves
- Speed only tells us the rate of motion, not the direction
- Average speed is calculated using total distance divided by total time
- Instantaneous speed is the speed at a specific moment in time
- SI unit for speed is meters per second (m/s)
- Speed is always positive or zero, never negative
Definitions
Term
Speed
Definition
The rate at which an object covers distance in a given time period
Importance
Fundamental concept for describing motion; appears in many physics problems
Term
Scalar Quantity
Definition
A physical quantity that has magnitude only, no direction
Importance
Understanding scalar vs vector quantities is essential for motion analysis
Section Title
Speed - Rate of Motion
Common Mistakes
- Confusing speed with velocity - speed has no direction
- Using wrong units in calculations (mixing km/h with m/s)
- Forgetting to convert units before calculating
Formulas
Example
A student walks 50 m east in 10 s. Velocity = 50 m ÷ 10 s = 5 m/s east
Formula
Average velocity = displacement / time taken
Variables
displacement (s) in meters, time (t) in seconds
Application
Calculates velocity when initial and final positions are known
Exam Tips
- Always specify direction when stating velocity
- Remember: velocity can be negative (indicates opposite direction)
- Displacement can be less than distance traveled
Key Points
- Velocity is a vector quantity that includes both speed and direction
- Average velocity equals displacement divided by time taken
- Velocity can be positive or negative depending on direction
- Instantaneous velocity is velocity at a specific moment
- Objects moving in circles at constant speed have changing velocity
- SI unit is meters per second (m/s) with direction
Definitions
Term
Velocity
Definition
The rate of change of displacement with respect to time
Importance
Critical for understanding motion in physics; distinguishes direction from speed
Term
Displacement
Definition
The straight-line distance from initial to final position with direction
Importance
Key difference from distance; displacement can be zero even if distance is not
Term
Vector Quantity
Definition
A physical quantity that has both magnitude and direction
Importance
Essential for understanding forces and motion in multiple dimensions
Section Title
Velocity - Speed with Direction
Common Mistakes
- Using distance instead of displacement in velocity calculations
- Forgetting to include direction in velocity answers
- Thinking velocity and speed are always the same
Formulas
Example
A tricycle accelerates from 5 m/s to 15 m/s in 4 s. a = (15 - 5) ÷ 4 = 2.5 m/s²
Formula
Average acceleration = (final velocity - initial velocity) / time taken
Variables
a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, t is time
Application
Used to find acceleration when velocities and time are known
Example
Starting from rest with a = 2 m/s² for 3 s: d = 0(3) + ½(2)(3)² = 9 m
Formula
Distance with constant acceleration: d = vi·t + ½at²
Variables
d is distance, vi is initial velocity, t is time, a is acceleration
Application
Calculates distance traveled under constant acceleration
Exam Tips
- Acceleration can be positive while velocity is negative
- Zero acceleration means constant velocity, not zero velocity
- Practice interpreting velocity-time graphs
Key Points
- Acceleration is the rate of change of velocity over time
- Acceleration is a vector quantity with magnitude and direction
- Positive acceleration means speeding up in the positive direction
- Negative acceleration (deceleration) means slowing down
- SI unit is meters per second squared (m/s²)
- Acceleration occurs when speed changes, direction changes, or both
Definitions
Term
Acceleration
Definition
The rate at which velocity changes with time
Importance
Fundamental for understanding how forces affect motion
Term
Deceleration
Definition
Negative acceleration; when an object slows down
Importance
Important for analyzing braking and stopping scenarios
Section Title
Acceleration - Rate of Change of Velocity
Common Mistakes
- Confusing acceleration with velocity or speed
- Thinking acceleration means speeding up only
- Forgetting that changing direction at constant speed involves acceleration
Exam Tips
- Practice reading and interpreting different types of motion graphs
- Remember: steep slope means large rate of change
- Zero slope means constant value
Key Points
- Position-time graphs show how position changes over time
- Slope of position-time graph gives velocity
- Velocity-time graphs show how velocity changes over time
- Slope of velocity-time graph gives acceleration
- Area under velocity-time graph gives displacement
- Horizontal lines indicate constant values
Definitions
Term
Slope
Definition
The steepness of a line on a graph; rise over run
Importance
Used to extract physical quantities from motion graphs
Section Title
Motion Graphs and Analysis
Common Mistakes
- Confusing position and velocity graphs
- Misinterpreting negative slopes
- Forgetting that curved lines indicate changing rates
Formulas
Example
A 60 kg student has weight W = 60 × 9.8 = 588 N
Formula
Weight: W = mg
Variables
W is weight in Newtons, m is mass in kg, g = 9.8 m/s²
Application
Calculates gravitational force on an object
Exam Tips
- Use g = 9.8 m/s² or 10 m/s² as specified in problems
- Remember that weight is measured in Newtons, mass in kilograms
- Free fall problems often involve symmetry
Key Points
- Free fall is motion under gravity alone
- All objects fall at the same rate in a vacuum
- Acceleration due to gravity g = 9.8 m/s² downward
- Air resistance affects real-world falling objects
- At maximum height, velocity is zero but acceleration is still g
- Free fall equations apply to vertical motion
Definitions
Term
Free Fall
Definition
Motion of an object under the influence of gravity alone
Importance
Common type of motion; appears frequently in physics problems
Term
Weight
Definition
The gravitational force acting on an object
Importance
Different from mass; weight changes with gravity strength
Section Title
Free Fall and Gravity
Common Mistakes
- Confusing mass and weight
- Thinking heavier objects fall faster in vacuum
- Forgetting that acceleration is constant during free fall
Connections
- Speed, velocity, and acceleration connect to Newton's Laws of Motion
- Kinematics forms the foundation for dynamics (forces and motion)
- Motion concepts apply to projectile motion and circular motion
- Understanding graphs helps in analyzing real-world motion data
- These concepts are essential for understanding energy and momentum
Exam Strategy
Focus on understanding the conceptual differences between speed, velocity, and acceleration. Practice unit conversions and graph interpretation. Memorize key formulas and their applications. Work through numerical problems step by step, always checking units. For UPCAT, expect problems combining multiple concepts like free fall with kinematics equations.
Quick Review Questions
What is the difference between speed and velocity?
Speed only tells how fast, velocity tells how fast and in what direction
A car travels 100 km north in 2 hours. What is its average velocity?
Average velocity = displacement/time = 100 km north ÷ 2 h = 50 km/h north
Can an object have zero velocity but non-zero acceleration?
At maximum height, velocity is zero but acceleration due to gravity is still 9.8 m/s² downward
What does negative acceleration mean?
Negative acceleration depends on the chosen coordinate system and can mean deceleration
If acceleration is zero, what can you say about velocity?
Zero acceleration means no change in velocity; object moves at constant velocity
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