# Objectives - Vectors and Projectiles

The Minds On Physics program consists of 15 modules. Each module covers a different topic and consists of a varying number of assignments. Every assignment addresses one or two objectives. The objectives for the Vectors and Projectiles module are listed below.

• Assignment 1:
• The student should be able to identify the direction of a vector (using the Cartesian coordinate system) if given a graphical representation of a vector.
• The student should be able to identify the direction of a vector (using the Cartesian coordinate system) if given a graphical representation of the vector and surrounding (and sometimes distracting) vectors.

• Assignment 2:
• The student should be able to understand the basic method of head-to-tail addition and use the method to determine the resultant of two or more vectors.
• The student should be able to utilize an understanding of the head-to-tail method of vector addition in order to analyze and interpret a vector addition diagram.

• Assignment 3:
• The student should be able to apply a sense of vector addition to answer basic questions about the process and the result of the process.
• The student should be able to utilize vector addition diagrams to determine the resultant of three or more vectors.

• Assignment 4:
• The student should be able to use the Pythagorean theorem to add two or more vectors in order to determine the magnitude of the resultant.
• The student should be able to trigonometric principles to add two or more vectors in order to determine the direction of the resultant.

• Assignment 5:
• The student should be able to define vector component and describe their meaning and importance.
• The student should be able to use graphical and trigonometric methods to determine the components of a given vector.

• Assignment 6:
• The student should be able to recognize the interdependence of the various kinematic and vector quantities associated with the motion of a river boat across a river in the presence of a current.
• The student should be able to calculate the values of the various kinematic quantities (time, distance, and velocity) for the motion of a river boat across a river in the presence of a current.

• Assignment 7:
• The student should be able to define projectile motion and relate the definition to very basic kinematic and dynamic principles.
• The student should be able to identify the direction and magnitude of the only force present on a projectile.

• Assignment 8:
• The student should be able to extend the definition of a projectile in order to describe a projectile's acceleration.
• The student should be able to extend the definition of a projectile in order to describe the nature of the projectile's horizontal and vertical velocity components.

• Assignment 9:
• The student should be able to interpret a velocity vector diagram for a projectile in order to predict the relative magnitude of the horizontal and vertical velocity components at various times during the trajectory.
• The student should be able to determine the magnitudes of the horizontal and vertical velocity components of a projectile.

• Assignment 10:
• The student should be able to identify and describe the variables which effect the time of flight of a projectile.
• The student should be able to identify and describe the variables which effect the horizontal and vertical displacement of a projectile.