TDK - Introduction to Two Dimensional Kinematics
Two Dimensional Kinematics
Introduction
Kinematics will now be applied to motion in two dimensions. First, we will learn how to calculate the components of a vector and how to resolve those components to solve for both the magnitude and direction of a vector. These concepts will then be applied to a particle moving through projectile motion. A particle moving through projectile motion is an object traveling though space under the influence of nothing but gravity.
Essential Questions
- What are the x and y components of a given vector?
- What is the net displacement when given a series of displacement vectors for a particle?
- What is the net change in velocity when given a series of velocity vectors for a particle?
- How can the components, magnitude, and direction of a particle's velocity and acceleration be determined by the functions x(t) and y(t)?
- What are the horizontal and vertical components of velocity and position as a function of time?
- What is the motion of a projectile that is projected with arbitrary initial velocity?
Key Terms
- Vector - Any quantity that has a magnitude and direction.
- Scalar - A quantity that can be defined with only a magnitude.
- Component of a Vector - The magnitudes and directions (x and y or horizontal and vertical) or any vector.
- Resolving a Vector - Combining the components of a vector to determine its magnitude and direction.
- Projectile - Any object traveling through the air under the influence of only the force of gravity.
- Projectile Motion - The behavior of an object traveling through the air under the influence of only the force of gravity.
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