   Projectile Motion Formulae Derivations |
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### Lecture Description

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The objective of this video is to derive expressions for Vx (velocity in x direction) and Vy (velocity in y direction) for a standard projectile. The video also wanted to derive expressions for displacement in x direction, Sx and displacement in y direction, Sy at any time. First of all, the video illustrates the given projectile motion of initial velocity, V & launch angle, θ. Next, the video derives the expression of horizontal velocity as a function of time and successively works out on the formula of calculating displacement in x direction using the obtained formula of velocity component in x direction.

Moving on, the video derives the expression of vertical velocity component as a function of time and takes the gravity acceleration in consideration. The integration of vertical gravity acceleration gives the expression of velocity component in y direction and further integration of the obtained formula yields the formula of displacement in y direction. Doing the derivation, the video briefly illustrates how to find the values of integral constant elaborating all the facts and figures in greater details.

### Course Description

Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.