Normal Force: The normal force is the support force. Determine the horizontal and vertical components of the motorcycles velocity.Īpplied Force: PUSH OR A PULL ON AN OBJECT Vector Components Any vector directed at an angle to the horizontal can be broken down into its two components.Ī motorcycle stunt person traveling 37 m/s jumps off a ramp at an angle of 35 degrees to the horizontal. What is the resultant velocity of the motorboat?Ī motorboat traveling 4 m/s, East encounters a current traveling 7.0 m/s, North. The Resultant: SUM OF TWO OR MORE VECTORSĪ motorboat traveling 4 m/s, East encounters a current traveling 3.0 m/s, North.Ī motorboat traveling 6 m/s, North encounters a current traveling 3.8 m/s, South. The boy's displacement is 120 METERS EAST Straight line from start to finish.Ī boy walks 150 meters due east and then turns around and walks 30 meters due west. The boy walked a distance of 180 METERSĭisplacement is a vector quantity, which refers to "how far out of place an object is" it is the object's change in position. Vectors quantities are quantities that are fully described by both a magnitude and a direction.ĭistance is a scalar quantity, which refers to "how much ground an object has covered" during its motion.Ī boy walks 150 meters due east and then turns around and walks 30 meters due west.
The trajectory of a rock ejected from the Kilauea volcano.Scalars quantities: are quantities that are fully described by a magnitude alone. (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.