Our purpose for this lab was to observe projectile motion and use the equations of motion to predict the objects location in different instances of time. We used a projectile launcher and a ball to observe these properties of motion. The main equation used in this lab was d=Vit+1/2at^2 where Vit will produce the distance due to constant motion and 1/2at^2 will produce distance traveled due to accelerated motion or gravity in this case.
Projectile motion can be split into two separate dimensions of movement. The first being constant motion in the horizontal x axis witch neglecting air resistance should stay constant throughout the projectiles path. In the vertical y axis we have constant acceleration due to gravity toward the ground. These two motions are linked in time witch allows you observe the instantaneous characteristics of the projectile. Time is the connecter between the equations so you can salve for time in one equation and plug it into the other to find the data needed at that time/distance. Let's start by analyzing the horizontal x axis. Often the distance traveled by a projectile in the horizontal is called range(R = VicosÓ¨Ît). When broken down Vi cosÓ¨Ît is the initial velocity of the object in the x axis multiplied by how long it has been traveling at that speed equals your displacement in the x axis. The other dimension is the vertical witch is usually called height (h=VisinÓ¨Ît+1/2at^2) witch is similar to the horizontal motion except we have to account for the force of gravity. When we brake down the equation we see the height is equal to the initial velocity (VisinÓ¨Ît) of the object in the y axis plus half the force of gravity multiplied by the amount of time in the air squared witch yields the displacement in the y axis. Both equations are needed to represent the projectiles overall motion and can be manipulated though algebra to figure out the different components of...
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