Motion in 2 D Projectiles and cicular Kinematics

Description

Hello students

This coursed i have made solely for Motion in 2 dimention which covers in depth Projectle motion and kinematics of circular motion

Projectile motion is the motion of an object thrown or projected into the air, moving under the influence of only the acceleration of gravity. The object is called a projectile, andthe  path followed by it is called its trajectory. The motion of freely falling objects, is an example of  One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. In this course we consider two-dimensional projectile motion, such as that of a football or other object for which air resistance is negligible.

The most important fact to remember here is that motions along perpendicular axes are independent of each other and thus can be analyzed separately. This fact is a unique property of in Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent. The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical. As is customary,  the horizontal axis is called  the x-axis and the vertical axis the y-axis. T

Of course, to describe motion we must deal with velocity and acceleration, as well as with displacement. We must find their components along the x– and y-axes, too. We will assume all forces except gravity (such as air resistance and friction, for example) are negligible. The components of acceleration are then very simple: ay = –g = –9.80 m/s2. (Note that this definition assumes that the upwards direction is defined as the positive direction. If you arrange the coordinate system instead such that the downwards direction is positive, then acceleration due to gravity takes a positive value.) Because gravity is vertical, ax=0. Both accelerations are constant, so the kinematic equations can be used.

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