What you'll learn

Master the following topics using plenty of MCQs & assignments.
1 Add and subtract vectors using the 'triangle (& parallelogram) law of vector addition' with intuition (Highly essential skill for this course)
2 Convert any vector from polar form to cartesian form (and vice versa)
3 Decompose a vector into perpendicular components. (Highly essential skill for almost all of mechanics)
4 Explain 'projectile motion' and 'uniform circular motion'.
5 Derive formulas for Maximum height, range and time of flight for any projectile motion.
6 Solve any problem on projectile (oblique, horizontal etc.) motion using a general recipe of decomposing vectors
7 Explain what 'radians' and 'angular speed' are with intuition. (highly essential for circular motion)
8 Convert from 'degrees' to 'radians' and vice versa
9 Connect between 'angles covered' & 'distance covered'
10 Connect between 'linear speed' & 'angular speed'
11 Explain what centripetal acceleration is with intuition. (one of the most non intuitive concept)
12 Explain why moon doesn't crash into the earth with intuition.
13 Be ready to take on higher courses in mechanics (like Newton's laws of motion)

Course content

8 sections • 43 lectures • 5h 12m total length

Introduction1:07
How far is she?

How Far is She? (Solution) - Intro to Vectors3:50
Vectors Or Scalars
Polar form of vectors8:26
Adding vectors in Polar form (part 1 - simple cases)11:58
Review question for adding vectors in polar form (Simple cases)
Adding Vectors in Polar Form (part 2 - a little angled problem)9:27
Review question for adding vectors in polar form (Angled cases)
Angle of the resultant?
Adding Vectors in Polar form (Part 3 - Generalising - The set up)3:48
Sum of two vectors in Polar form
Adding Vectors in Polar Form( Part 4 - The general formula)5:19
Example Problem using General Formula9:25
Review question for Adding vectors in 2D
Vector Subtraction Method 16:36
Vector Subtraction Method 23:13
Another Example on Subtracting Vectors7:54
Review Questions for Vector Subtraction
Multiplying a Vector by a Scalar6:23
Objective: To understand what whens when a vector is multiplied or divided by a scalar.
Vector Multiplied or Divided By Scalar
Unit Vectors5:07
Cartesian Form of Vector Representation (Part 1)7:47
Cartesian Form Challenge!
Cartesian Form of Vector Representation (Part 2 -Challenge question Solution)5:45
Hopefully you have solved the challenge question.
Now it's time to see whether you got it right or wrong!
Example on Cartesian form of vector representation4:30
More examples won't hurt. Since this is super important we will take a look at another example!
Vector Decomposition8:38
The most powerful tool of vector is this. Vector Decomposition. We have been actually building up to this so far.

Objective: Understand the concept of Vector Decomposition and Components
Purpose: We will be using this tool in understanding and solving 2D kinematics problems
Practical Example of Components1:05
Although the 'component of vector' seems abstract. It's very real. In this video we will apply the concept of vector decomposition to a simple practical case
More Intuition on Vector Components8:18
This video we will deepen our understanding of effects or components of vectors
The goal here is to get an intuition behind how the component of a vector changes, as a vector rotates in a plane.

A complicated looking 2D problem10:25
Welcome to 2D.
Objective: We will solve a very complicated looking problem on Kinematics in 2D. We will need no new physics. Just the Physics of 1D and the newly learnt Vectors.
A boat in water
The Ball in the Wind
The Classic Swimmer Problem10:01
Objective: Look at the classic 2D problem, get some insights on reference frames, and more on vectors!
The Swimmer Problem Review
Meeting his Gf (Class Swimmer Problem Part 2)9:13
We shall continue with the Swimmer Problem
Objective: At what angle should he swim to meet up with his gf?
Help him meet his love :)
Challenge quiz on swimmer problem
Relative Motion in 2D (Khan Academy Resource)0:10

Welcome to projectile motion - Which bullet hits the ground first?2:10
Welcome to projectile motion.
In this video we will kick things off with an open question. This question will be the key to understanding this entire section, so please spend some time on it.
Which bullet hits the ground first?
87% of my students thought this way2:52
Most of my students answered the question immediately by using a common logic. Let's discuss what that is, and maybe it will help us answer the question.
Maybe not!
Method 1 - Quick but not very rigorous5:31
In this video we will tackle the question in a very quick but not very physicsy rigorous way.
This is a great example to see how logical reasoning can be used sometimes, even without know the core physics behind it, to solve problems.
Method 2 - Bus and ball analogy10:52
In this video, we will use rigorous logic and reasoning (with physics this time) to tackle the bullet problem.
It would be great to quickly revise the concept of relative motion! [No need of math, just conceptual would be enough]
Using the Bus and Ball analogy!
Challenge Quiz, can the bus make the jump?
What's the time of fall? (Example problem)7:55
A ball is kicked horizontally from a cliff. How long does it take to land? We will use our insights from previous videos to solve this numerical
How far did it fall?
How far did it land? (Example problem part 2)9:48
Continuing the same problem, how far did it land?
Review on solving 2D projectile motion
Water bombing your neighbour!3:21
You want to teach your annoying neighbours a lesson. So you decide to throw a Giant water bomb on them! But to achieve this feat, you need to do some calculations.
Water bombing your neighbour!
Hitting the target9:38
Using another numerical, we will generalise the method of solving 2D projectile motion. EVERY 2D PROJECTILE MOTION can be solved in the same way as we do this one problem.
So if you feel you need more clarity or any confusion, open a Q and A for this video, cause it's pretty important stuff for the future.
Kicking the ball down
Challenge question (Save the girl)
Classic Puzzle (Monkey and the hunter)4:43
Here is a classic puzzle to end this section.
In this video we will set up the puzzle and I want you to try and solve it in the quiz section below. Don't worry there isn't any math involved, you can just do it intuitively.
I feel this is a perfect way to end the section, because it will test everything we discussed in the section. So do give it a try and don't hesitate to open a Q and A if we need more discussion
The monkey and hunter

General strategy to solve any projectile motion problem7:29
This video discusses the general strategy we can implement to tackle any projectile motion problem.
Calculate time, range and height11:35
Most often we are interested in three things about a projectile, it's range, it's height and the time it takes to complete it's journey.
Calculating equation to trajectory12:40
Sometimes, we need to know the connection between it's horizontal distance and it's vertical height. This connection is called the equation to the trajectory.

Equation for height, range and time of flight8:07
We will set up for deriving height, time and range.
Check your results (derivation of height, range and time)8:18
Here we derive the three equations that we will be using in the future
Conditions for maximum height, time and range12:30
In this video we will build some intuition for this equation and figure out when does a projectile get maximum height, time and range.

Requirements

Some basics about 1D kinematics (most of which would be covered in the course)
All concepts can be understood intuitively without any (or hardly any) math.
Basic algebra (Like "x + 10 = 25, find x") for solving numerical problems.
Calculator or calculator app (Optional).
A pen/pencil and a book/pieces of paper to solve assignment and quiz problems.

Description

This course is all about 2 dimensional kinematics.

2D kinematics is study of things moving in a plane. Which means stuff can curve now. This adds difficulty to the analysis of motion. However by learning a new tool of mathematics called Vectors, we can use our knowledge of 1D kinematics (motion in a straight line) and analyse 2D motion WITHOUT ANY EXTRA FORMULAE! This is amazing!. This is the beauty of mathematics.

The course is Structured as follows

1. Concept videos, practice problem videos, extra information (Which is not mandatory but helps you get more insight and get more out of the course.

2. For every concept, we have trivial and challenging quizzes to make sure, you can check your understanding and review any material if needed.

3. There are assignment questions which test your application abilities and how you are able to connect various topics together. (This is also where you and I exchange a lot of thoughts)

4. At the end we have practice test, with timings and scores. This makes you self evaluate your learning and understand how much you have gained from the entire course. (coming soon)

So what are you waiting for, enrol and "let's get.. wait for it... moving"! (sorry for that, my jokes get better)

Who this course is for:

If you are absolute beginner in physics or you are already taking a course but want to understand the subject deeply.
If you don't like to just memorise equations but understand where they come from and how to use them.
If you find problem solving in 2D motion hard, this course is highly recommended.
If you are high school student, this course is very highly recommended.

What you'll learn

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Course content

Introduction1 lecture • 1min

Most important tool for 2D Vectors18 lectures • 1hr 57min

Entering the 2D world4 lectures • 30min

Projectile motion Part 1 - Horizontal Projectile Motion9 lectures • 57min

Oblique projectile motion part 1 (Solving any problem)3 lectures • 32min

Oblique projectile motion part 2 (Deriving shortcuts)3 lectures • 29min

Oblique projectile motion part 3 (Solving using 2D equations)2 lectures • 17min

Circular motion & Angular variables3 lectures • 30min

Requirements

Description

Who this course is for: