Two Dimensional Kinematics-Projectile Motion-Motion in 2-D

General 2-D Motion -Projectile on ground and inclined plane

Created byKalyan Dutt Shatdarsanam

Last updated 1/2025

English

What you'll learn

you will learn the main idea that perpendicular directions are completely independent
you will learn how to apply kinematics separately in x, y and z directions
you will learn how to calculate maximum height, range and time of flight
you will learn how to do problems involving projectile on incline

Course content

1 section • 22 lectures • 4h 10m total length

Introduction2:36
Choosing Coordinate System and quantities in Projectile7:32
Writing Kinematical Quantities in projectile as components10:43
Time of flight and Maximum Height13:31
Alternate methods for calculating maximum height8:18
Horizontal Range of a projectile10:55
Derive the horizontal range of a projectile using cartesian components, time of flight, and angle dependencies, including maximum range at 45 degrees and complementary angles.
Equation of trajectory of projectile10:20
Derive the trajectory equation for a projectile, showing path is a parabola and eliminating time to obtain y = x tan θ − g x^2 / (2 u^2 cos^2 θ).
A Fantastic Problem on Projectile part 111:01
A Fantastic Problem on Projectile part 210:48
A Fantastic Problem on Projectile part 315:22
solve a two-wall projectile problem by computing the 14.4 meter spacing between walls of height 11 meters from a 1.2 second crossing interval, given horizontal velocity 12 m/s.
A Fantastic Problem on Projectile part 420:29
Concept of a horizontally thrown projectile5:26
A Problem of Projectile thrown from a wall16:28
this lecture analyzes a projectile launched from a 16 m tower at 20 m/s and 53°, yielding a 4 s flight, 48 m range, and 28.8 m max height.
A problem involving projectile grazing a mountain6:55
Five Good Problems on Projectile14:17
An Interesting Problem with Multiple Solutions21:05
Projectile on Inclined Plane13:21
An Inclined Plane Projectile Problem7:59
Two Simple Problems10:07
A ball thrown horizontally from certain height on incline13:12
Range on Incline in two methods6:42
Projectile grazing a roof from underneath13:13

Requirements

Calculus, Vectors, One Dimensional Kinematics

Description

Here we will be dealing with an object thrown at an angle to horizontal. This course will help you to analyze the problem of finding the time of flight, maximum height, range, equation of trajectory and many other related kinematical quantities. Multiple methods have been given to calculate some of the quantities. This is followed by a discussion on horizontal projectile (thrown from the top of a wall) and the calculation of time of flight and range in those cases. The main concept of considering the projectile as two separate one dimensional motions, one along x axis and the other along y axis has been used throughout in all the lectures. Also projectile on inclined plane , how to choose appropriate coordinate system in such cases and how to solve the range on incline and time of flight in such cases are thoroughly discussed. Some problems have been discussed with solutions having three to four methods in some cases.

A unique innovative approach of taking one situation and trying to solve many bits pertaining to that situation has been used in these lectures as this gives complete clarity on how to solve all kinds of problems in this topic. I tried to cover different ideas and problems on distance travelled, displacement, average speed and average velocity in projectile motion.

Who this course is for:

This course is for those above 18 years interested in physics
It is for parents of those who are under 18 and want to help their children understand projectile motion and two and three dimensional motion