Learners create motion-time graphs and use them to analyze projectile motion.
After completing this tutorial, you will be able to complete the following:
Graphing projectile motion can deepen conceptual and mathematical understanding. Projectiles are examples of two-dimensional motion, with horizontal and vertical components. Thus, they also have x-axis components and y-axis components, respectively. Studying projectile motion requires an investigation of the relationships between gravitational acceleration, initial velocity, and angle of launch. A projectile launched at an angle follows a parabolic trajectory. Gravity and air resistance affect the trajectory of these projectiles.
In graphing projectile motion, horizontal and vertical components may be analyzed separately in terms of acceleration, velocity, and position. With two components and three variables of motion, six graphs can help to analyze projectile motion.
These graphs are:
These motion graphs are all interrelated. Applying simple ideas such as area under the curve or slope to one graph yields another graph. This is because of the mathematical interrelation of acceleration, velocity, and position. Thus, once graph (1) is sketched and analyzed, graph (2) can be sketched, and then graph (3), and so on.
|Approximate Time||30 Minutes|
|Pre-requisite Concepts||Newtons laws of motion, sketching a graph, analyzing a graph, one-dimensional motion with constant velocity, one-dimensional motion with constant acceleration, gravity|
|Type of Tutorial||Concept Development|
|Key Vocabulary||acceleration, air resistance, angle|