jamal.kun said:Homework Statement
Question is: What are the x- and y-components of the velocity vector shown in the figure?
https://session.masteringphysics.com/problemAsset/1384003/6/knight_Figure_03_22.jpg
The Attempt at a Solution
I tried -100 m/s*cos(30 degrees)=-86.6m/s for the x component and -100m/s*sin(30 degrees)=-50m/s for the y component, but was incorrect for both. What am I missing?
If you are asking jamal.kun, the thread is seven years old and jamal is no longer a forum member.Abdullah Wali said:
The x-component of the velocity vector represents the velocity in the horizontal direction, or left and right motion.
The y-component of the velocity vector is calculated using the formula: v*sin(theta), where v is the magnitude of the velocity and theta is the angle between the velocity vector and the horizontal axis.
Yes, the x- and y-components of the velocity vector can have different units. The x-component is typically measured in meters per second (m/s) and the y-component is measured in meters per second (m/s) as well. However, depending on the application, other units such as kilometers per hour (km/h) or miles per hour (mph) may be used.
The x- and y-components of the velocity vector are independent of each other and do not directly affect the overall velocity. The overall velocity is the vector sum of the x- and y-components, calculated using the Pythagorean theorem: sqrt((x-component)^2 + (y-component)^2).
Yes, the x- and y-components of the velocity vector can change over time. This is known as acceleration and is influenced by forces acting on the object. The change in the x- and y-components of the velocity vector over time can be described by the equations of motion in physics.