3 TWO-DIMENSIONAL KINEMATICS
Figure 3.1Everyday motion that we experience is, thankfully, rarely as tortuous as a rollercoaster ride like this—the Dragon Khan in Spain’s Universal Port Aventura
Amusement Park. However, most motion is in curved, rather than straight-line, paths. Motion along a curved path is two- or three-dimensional motion, and can be described in
a similar fashion to one-dimensional motion. (credit: Boris23/Wikimedia Commons)
Learning Objectives
3.1. Kinematics in Two Dimensions: An Introduction- Observe that motion in two dimensions consists of horizontal and vertical components.
- Understand the independence of horizontal and vertical vectors in two-dimensional motion.
3.2. Vector Addition and Subtraction: Graphical Methods - Understand the rules of vector addition, subtraction, and multiplication.
- Apply graphical methods of vector addition and subtraction to determine the displacement of moving objects.
3.3. Vector Addition and Subtraction: Analytical Methods - Understand the rules of vector addition and subtraction using analytical methods.
- Apply analytical methods to determine vertical and horizontal component vectors.
- Apply analytical methods to determine the magnitude and direction of a resultant vector.
3.4. Projectile Motion - Identify and explain the properties of a projectile, such as acceleration due to gravity, range, maximum height, and trajectory.
- Determine the location and velocity of a projectile at different points in its trajectory.
- Apply the principle of independence of motion to solve projectile motion problems.
3.5. Addition of Velocities - Apply principles of vector addition to determine relative velocity.
- Explain the significance of the observer in the measurement of velocity.
CHAPTER 3 | TWO-DIMENSIONAL KINEMATICS 85