The rules for adding vectors together are unique to vectors and cannot be used when adding scalars together. FALSE - Both vectors and scalars can be added together. If a quantity did have a direction associated with it, then that quantity would not be a vector.Ĭ.
Scalars have no regard for direction and it is meaningless to associate a direction with such a quantity.
FALSE - Scalars are defined as quantities which are fully described by their magnitude alone. If it didn't, then it would NOT be a vector.ī. By definition, a vector has a direction associated with it. TRUE - Vectors are defined as quantities which are fully described by both their magnitude and direction. Vectors can be represented by an arrow on a scaled diagram the length of the arrow represents the vector's magnitude and the direction it points represents the vector's direction.Ī.Vectors can be added together scalar quantities cannot.A scalar quantity can have a direction associated with it.A vector quantity always has a direction associated with it.Which of the following statements are true of scalars and vectors? List all that are TRUE. Vectors and Projectiles - Home || Printable Version || Questions and LinksĪnswers to Questions: All || #1-9 || #10-45 || #46-55 || #56-72ġ. The trajectory of a rock ejected from the Kilauea volcano.The Review Session » Vectors and Projectiles » Answers Q#1-9 Vectors and Projectiles (b) What are the magnitude and direction of the rock’s velocity at impact? Figure 4. (a) Calculate the time it takes the rock to follow this path.
The rock strikes the side of the volcano at an altitude 20.0 m lower than its starting point. Figure 1 illustrates the notation for displacement, where\textbfabove the horizontal, as shown in Figure 4. (This choice of axes is the most sensible, because acceleration due to gravity is vertical-thus, there will be no acceleration along the horizontal axis when air resistance is negligible.) As is customary, we call the horizontal axis the x-axis and the vertical axis the y-axis. The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical. This fact was discussed in Chapter 3.1 Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent. The most important fact to remember here is that motions along perpendicular axes are independent and thus can be analyzed separately. In this section, we consider two-dimensional projectile motion, such as that of a football or other object for which air resistance is negligible. The motion of falling objects, as covered in Chapter 2.6 Problem-Solving Basics for One-Dimensional Kinematics, is a simple one-dimensional type of projectile motion in which there is no horizontal movement. The object is called a projectile, and its path is called its trajectory. Projectile motion is the motionof an object thrown or projected into the air, subject to only the acceleration of gravity. Apply the principle of independence of motion to solve projectile motion problems.Determine the location and velocity of a projectile at different points in its trajectory.Identify and explain the properties of a projectile, such as acceleration due to gravity, range, maximum height, and trajectory.