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Motion In One And Two Dimensions


1. Projectile Motion


If a body is thrown upwards at an angle to the vertical, it follows a curved path before returning to the same horizontal level. The body is called a projectile and its path is called a trajectory. The motion of a projectile is two-dimensional, which can be broken down into two component x- and y-motions. Can we apply the kinematic equations to analyse such motion? How to find the displacement and velocity of the projectile at a given instant? What is the maximum height reached? What is the horizontal range, and how to maximise it? The video lecture “Projectile Motion” answers some of these questions, and more.

2. Rest and Motion

3. Some Terms Associated with Translational Motion

4. Graphical Analysis of Rectilinear Motion

5. Rectilinear Motion with Constant Acceleration

6. Problems on Kinematic Equations

7. Analysis of Rectilinear Motion by Calculus

8. Kinematic Equations by Graphical Method

9. Kinematic Equations by Integration


Motion along a straight line with constant acceleration is governed by a handful of formulas, generally referred to as kinematic equations. We can derive these equations from some basic definitions, by graphical method, or by the method of integration. This last method is the most elegant, although it requires application of elementary calculus  something new to many students. The video lecture “Kinematic Equations by Integration” introduces students to calculus first, and then derives the said formulas.

10. Motion of Boat in a River

11. Relative Velocity and Relative Acceleration

12. Problems on Relative Velocity and Relative Acceleration

13. Rectilinear Motion under gravity


When a body is projected vertically upwards in vacuum or in an atmosphere of negligible air resistance, the only force acting on it is the force of gravity. Can we apply the well-known kinematic equations to analyse such motion? Should we take the upward or downward direction as positive direction? What is the maximum height reached by the body? For how long does it remain in flight? If air resistance is not negligible, will the upward and downward flights be of same duration? The video lecture “Rectilinear Motion under Gravity” answers some of these questions, and more.

14. Problems on Rectilinear Motion Under Gravity