We will assume all forces except gravity (such as air resistance and friction, for example) are negligible. We must find their components along the x- and y-axes, too. Of course, to describe motion we must deal with velocity and acceleration, as well as with displacement. However, to simplify the notation, we will simply represent the component vectors as x x and y y.) If we continued this format, we would call displacement s s with components s x s x and s y s y. (Note that in the last section we used the notation A A to represent a vector with components A x A x and A y A y. The magnitudes of these vectors are s, x, and y. Figure 3.36 illustrates the notation for displacement, where s s is defined to be the total displacement and x x and y y are its components along the horizontal and vertical axes, respectively. (This choice of axes is the most sensible, because acceleration due to gravity is vertical-thus, there will be no acceleration along the horizontal axis when air resistance is negligible.) As is customary, we call the horizontal axis the x-axis and the vertical axis the y-axis. 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. This fact was discussed in Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent. The most important fact to remember here is that motions along perpendicular axes are independent and thus can be analyzed separately. In this section, we consider two-dimensional projectile motion, such as that of a football or other object for which air resistance is negligible. The motion of falling objects, as covered in Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. The object is called a projectile, and its path is called its trajectory. View Notes.Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. Technical information, teaching suggestions, and related resources that complement this Interactive are provided on the Notes page. Learners and Instructors may also be interested in viewing the accompanying Notes page. Then follow it up with the Concept Checker: Our Projectile Simulator is now available with two Concept Checker that coordinate with Activity 2 and Activity 3 (above). View Activity #3 (Angle-Launched Projectiles).View Activity #2 (Horizontally-Launched Projectiles).The activities were designed with the intent of being used by classroom teachers with their classes. Or if desired, The Physics Classroom has prepared three different activities for a more directed experience. Users are encouraged to open the Interactive and explore. Learners can modify the launch speed, the launch angle, and the launch height and observe the effect of these changes upon a variety of projectile parameters such as the trajectory, the range, and maximum height, and the time of flight. The Projectile Simulator Interactive provides the learner with a user-friendly, virtual environment for exploring a variety of principles associated with projectile motion. Physics Interactives » Vectors and Projectiles » Projectile Simulator
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