Projectile Motion
This lesson covers the definition of projectile and projectile motion. It explains the concepts of time of flight, maximum height, and range, along with the relevant equations and examples from sports and warfare.
- 08:03 “And vertically, U is U sin theta. So why is substitute for that? We have 0, 0 squared is 0 equal to U sin theta all squared minus 2G H. So bringing to G H to this place, we have 2G H plus 2G H equal to this U squared sin...”
- 07:13 “The maximum height is represented with capital letter H. The highest vertical distance attained by projectile as measured from the horizontal plane of projection is the highest vertical distance attained. So our H to fin...”
- 06:27 “So we have T equal to 2U sin theta over G. So that's our time of flight as it is. If the time taking to reach the maximum height is T1, and T2 is the time taking to return to the plane of projection, so T1 equal to T2 eq...”
Similar Shapes
This lesson covers the identification of similar shapes such as triangles, rectangles, squares, cubes, and cuboids. It explains the criteria for similarity, including proportional sides and equal angles. The lesson also includes methods for enlarging figures using scale factors and calculating lengt
- 04:43 “Now look at the two triangles carefully. What do you observe? You observe one is bigger, one is smaller. Looking at the base, the base of the first is 12. The base of the second is 36. It means that the base of the secon...”
- 30:51 “So what do we have? K multiplied by... What is the old one that you have? You have 1.5. It is the old one. The old one is given to be 1.5. 1.5. So remember, we have gotten our K. What is our K? Our K has already been arr...”
- 21:53 “D, E and F, now it just means 1 over 2 multiplied by the base, what is the base, the base is 32, multiplied by what is the height, the height is 24, now when you look at this, what you are just simply doing is treating t...”
Trigonometric Ratios
This lesson covers the identification of sine, cosine, and tangent of an acute angle. It explains how to apply these trigonometric ratios to solve problems involving distances and lengths in right-angled triangles. The relationship between the sides and angles of triangles is also discussed.
- 12:39 “aspect of the evolution. After solving those two, we do the individual evolution where you expected to rule apply. Now a person standing at a point A, this, a sign at a point A, and looking up at a satellite dish at the...”
- 07:32 “stands at point A. Looking at a bed sitting at the top of a tree at point B. Stand at point A, looking at the bed sitting at the top of the tree at point B. The height of the tree is S m. Point A is 7.14 m away from the...”
- 13:29 “Now, 6 meter. The line of the side, line of side distance from point A to the top of the building, that's point B, is X. The line of side, the line at which it looks at the top of the building is X, which is unknown. Now...”
Work, Energy and Power
This lesson covers the definitions of work, energy, and power. It explains potential and kinetic energy as forms of mechanical energy. The lesson also includes calculations related to work done and the concept of power as the rate of doing work.
- 17:34 “The second question says, a boy of mass 10 kg runs up a staircase having a height of 3.00 meters. Find the work done against gravity. And we are giving an acceleration due to gravity, same as the first question, 10 meter...”
- 11:31 “Now, it is given by MGH, where M is the mass of the body. Now, G refers to acceleration, but this small G you see is acceleration due to gravitational force. And its value is about 9.8 m/s square, but it can be approxima...”
- 12:22 “That is, the force of the body over the mass of the body. Whereas, the distance covered by the object is usually measured in kilometers or meters. Let's take an example. The question says, find the potential energy of an...”