1) Which components remain constant throughout the motion?

vx = x component of the velocity
vy = y component of the velocity
ax = x component of the acceleration
ay = y component of the acceleration


I know that ax and ay remain constant but I am not sure about vx and vy.

To determine which components remain constant throughout the motion, we need to consider how velocity and acceleration change over time.

1. Velocity (v):
- The x component of velocity (vx) generally does not remain constant unless there is no force acting along the x-axis. If there is no force in the x-direction, then vx will remain constant.
- The y component of velocity (vy) can change due to gravity or other forces acting along the y-axis. If there are no forces acting along the y-axis, vy may remain constant.

2. Acceleration (a):
- The x component of acceleration (ax) can be constant if there is a constant force acting along the x-axis or if there is no force acting along the x-axis.
- The y component of acceleration (ay) can be constant if there is a constant force acting along the y-axis or if there is no force acting along the y-axis.

To determine if a component remains constant, you need to identify if there are any forces acting along that specific axis. If there are no forces acting in that direction, then the respective component of velocity or acceleration may remain constant. If there are forces acting in that direction, then the respective component of velocity or acceleration may not remain constant.