Subjects

Subjects

More

Open the App

Easy Equations of Motion and Fun Velocity Problems

View

Easy Equations of Motion and Fun Velocity Problems
user profile picture

Theo Ormiston

@marsaeir_hccn

·

8 Followers

Follow

A comprehensive guide to equations of motion in kinematics and projectile motion, covering fundamental concepts of motion, acceleration, and velocity calculations.

  • Introduces key equations of motion including v=u+at, s=ut+½at², and v²=u²+2as
  • Explores projectile motion constant acceleration analysis with detailed coverage of vertical and horizontal components
  • Demonstrates calculating velocity and acceleration example problems through practical scenarios
  • Covers motion graphs interpretation and analysis for different scenarios
  • Details projectile motion at angles with trigonometric applications

11/13/2022

226

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 2: Advanced Equations of Motion

This page expands on kinematics equations, introducing the third equation of motion and providing practical examples of their application in real-world scenarios.

Definition: The third equation of motion (v² = u² + 2as) relates final velocity to initial velocity, acceleration, and displacement without requiring time.

Example: A detailed problem solving example shows a car accelerating from 20ms⁻¹ to 30ms⁻¹ with acceleration of 0.5ms⁻², calculating the distance traveled.

Highlight: The UVATS system (Initial velocity, Final velocity, Acceleration, Time, Displacement) is essential for solving kinematics problems - you need three quantities to find the other two.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 3: Introduction to Projectile Motion

This page introduces the concept of projectile motion and the effects of gravity on falling objects.

Definition: A projectile is an object moving through air under the influence of gravity alone, experiencing constant acceleration of 9.8ms⁻² downward.

Highlight: Horizontal motion maintains constant velocity while vertical motion experiences constant acceleration due to gravity.

Vocabulary:

  • Projectile: Object moving under gravity's influence
  • Constant acceleration: Unchanging rate of change in velocity
  • Gravity: Force causing 9.8ms⁻² acceleration downward
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 4: Vertical Projectile Motion

This page focuses on the analysis of objects thrown vertically upward and their motion characteristics.

Example: A ball thrown upward at 25ms⁻¹ demonstrates the principles of deceleration during ascent and acceleration during descent.

Highlight: In vertical projectile motion, acceleration is always negative (-9.8ms⁻²), affecting both upward and downward motion.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 5: Horizontal Projectile Motion

This page examines the characteristics and calculations involved in horizontal projectile motion.

Definition: Horizontal projectile motion combines constant horizontal velocity with vertical acceleration due to gravity.

Highlight: The actual velocity at any point can be determined using vector addition of horizontal and vertical components.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 6: Projectiles at Angles

This page explores projectile motion when objects are launched at angles to the horizontal.

Definition: Angled projectile motion combines both horizontal and vertical components, creating a curved path.

Vocabulary:

  • SOH-CAH-TOA: Trigonometric relationships used in component analysis
  • Component vectors: Horizontal and vertical parts of velocity
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 7: Force Components and Applications

This page concludes with practical applications of projectile motion and force components.

Example: A projectile fired at 45° with initial vertical velocity component of 30ms⁻¹ demonstrates maximum height calculation.

Highlight: Vector components can be calculated using trigonometric relationships:

  • Horizontal velocity = V cos θ
  • Vertical velocity = V sin θ
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 7: Vector Components and Forces

This page examines vector resolution and force components in projectile motion.

Example: A projectile fired at 45° with initial vertical velocity of 30ms⁻¹ demonstrates maximum height calculations.

Definition: Vector components are the horizontal and vertical parts of a vector quantity.

Vocabulary: Component resolution involves breaking down vectors into horizontal (Vcosθ) and vertical (Vsinθ) components.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 8: Motion Graphs

This page presents various types of motion graphs and their interpretation.

Definition: Motion graphs show relationships between displacement, velocity, acceleration, and time.

Highlight: Different types of motion produce characteristic graph shapes that can be analyzed to understand motion behavior.

Vocabulary: Graph interpretation requires understanding of positive and negative directions in both horizontal and vertical motion.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

View

Page 1: Introduction to Kinematics

This page introduces fundamental concepts in kinematics and presents the first two equations of motion. The content focuses on understanding acceleration, velocity, and displacement calculations.

Definition: Deceleration is defined as negative acceleration, occurring when an object's velocity decreases over time.

Highlight: The first equation of motion (v = u + at) is crucial for calculating final velocity when initial velocity, acceleration, and time are known.

Example: A car starting from rest accelerates at 8ms⁻² for 4 seconds, reaching a final velocity of 32ms⁻¹.

Vocabulary:

  • u: Initial velocity
  • v: Final velocity
  • a: Acceleration
  • t: Time
  • s: Displacement

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

Sign up with GoogleSign up with Google

By signing up you accept Terms of Service and Privacy Policy

Easy Equations of Motion and Fun Velocity Problems

user profile picture

Theo Ormiston

@marsaeir_hccn

·

8 Followers

Follow

A comprehensive guide to equations of motion in kinematics and projectile motion, covering fundamental concepts of motion, acceleration, and velocity calculations.

  • Introduces key equations of motion including v=u+at, s=ut+½at², and v²=u²+2as
  • Explores projectile motion constant acceleration analysis with detailed coverage of vertical and horizontal components
  • Demonstrates calculating velocity and acceleration example problems through practical scenarios
  • Covers motion graphs interpretation and analysis for different scenarios
  • Details projectile motion at angles with trigonometric applications

11/13/2022

226

 

S5/S6

 

Physics

6

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 2: Advanced Equations of Motion

This page expands on kinematics equations, introducing the third equation of motion and providing practical examples of their application in real-world scenarios.

Definition: The third equation of motion (v² = u² + 2as) relates final velocity to initial velocity, acceleration, and displacement without requiring time.

Example: A detailed problem solving example shows a car accelerating from 20ms⁻¹ to 30ms⁻¹ with acceleration of 0.5ms⁻², calculating the distance traveled.

Highlight: The UVATS system (Initial velocity, Final velocity, Acceleration, Time, Displacement) is essential for solving kinematics problems - you need three quantities to find the other two.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 3: Introduction to Projectile Motion

This page introduces the concept of projectile motion and the effects of gravity on falling objects.

Definition: A projectile is an object moving through air under the influence of gravity alone, experiencing constant acceleration of 9.8ms⁻² downward.

Highlight: Horizontal motion maintains constant velocity while vertical motion experiences constant acceleration due to gravity.

Vocabulary:

  • Projectile: Object moving under gravity's influence
  • Constant acceleration: Unchanging rate of change in velocity
  • Gravity: Force causing 9.8ms⁻² acceleration downward
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 4: Vertical Projectile Motion

This page focuses on the analysis of objects thrown vertically upward and their motion characteristics.

Example: A ball thrown upward at 25ms⁻¹ demonstrates the principles of deceleration during ascent and acceleration during descent.

Highlight: In vertical projectile motion, acceleration is always negative (-9.8ms⁻²), affecting both upward and downward motion.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 5: Horizontal Projectile Motion

This page examines the characteristics and calculations involved in horizontal projectile motion.

Definition: Horizontal projectile motion combines constant horizontal velocity with vertical acceleration due to gravity.

Highlight: The actual velocity at any point can be determined using vector addition of horizontal and vertical components.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 6: Projectiles at Angles

This page explores projectile motion when objects are launched at angles to the horizontal.

Definition: Angled projectile motion combines both horizontal and vertical components, creating a curved path.

Vocabulary:

  • SOH-CAH-TOA: Trigonometric relationships used in component analysis
  • Component vectors: Horizontal and vertical parts of velocity
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 7: Force Components and Applications

This page concludes with practical applications of projectile motion and force components.

Example: A projectile fired at 45° with initial vertical velocity component of 30ms⁻¹ demonstrates maximum height calculation.

Highlight: Vector components can be calculated using trigonometric relationships:

  • Horizontal velocity = V cos θ
  • Vertical velocity = V sin θ
htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 7: Vector Components and Forces

This page examines vector resolution and force components in projectile motion.

Example: A projectile fired at 45° with initial vertical velocity of 30ms⁻¹ demonstrates maximum height calculations.

Definition: Vector components are the horizontal and vertical parts of a vector quantity.

Vocabulary: Component resolution involves breaking down vectors into horizontal (Vcosθ) and vertical (Vsinθ) components.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 8: Motion Graphs

This page presents various types of motion graphs and their interpretation.

Definition: Motion graphs show relationships between displacement, velocity, acceleration, and time.

Highlight: Different types of motion produce characteristic graph shapes that can be analyzed to understand motion behavior.

Vocabulary: Graph interpretation requires understanding of positive and negative directions in both horizontal and vertical motion.

htro
Kinematics
a deceleration is anegative acceleration
mat of the time an object will b acelerating the dirchan of both acuskration and ve

Page 1: Introduction to Kinematics

This page introduces fundamental concepts in kinematics and presents the first two equations of motion. The content focuses on understanding acceleration, velocity, and displacement calculations.

Definition: Deceleration is defined as negative acceleration, occurring when an object's velocity decreases over time.

Highlight: The first equation of motion (v = u + at) is crucial for calculating final velocity when initial velocity, acceleration, and time are known.

Example: A car starting from rest accelerates at 8ms⁻² for 4 seconds, reaching a final velocity of 32ms⁻¹.

Vocabulary:

  • u: Initial velocity
  • v: Final velocity
  • a: Acceleration
  • t: Time
  • s: Displacement

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying