cyrusabdollahi said:You should spend a few minutes to learn what cos(x) and sin(x) means. Then you can apply that definition to the problem.
In general, you cannot use cos(x) for the x component nor sin(y) for the y component.
Your question shows me that you do not have a full understanding of cos(x) and sin(x).
Vector components refer to the individual parts of a vector in a specific direction or coordinate system. They are typically represented as horizontal and vertical components, or x and y components.
The horizontal (x) and vertical (y) components of a vector can be calculated using trigonometric functions. The x component is equal to the magnitude of the vector multiplied by the cosine of the angle between the vector and the horizontal axis. The y component is equal to the magnitude of the vector multiplied by the sine of the angle.
Velocity is a vector quantity that describes the rate of change of an object's position over time. It includes both the speed and direction of the object. Acceleration, on the other hand, is the rate of change of an object's velocity over time. It can be either positive (speeding up) or negative (slowing down) and is also a vector quantity.
The direction of a vector can be determined by using the angle formed between the vector and a reference axis, usually the horizontal axis. This angle is typically measured in a counterclockwise direction from the reference axis.
Scalar quantities only have magnitude, or size, and do not have direction. Examples of scalar quantities in kinematics include speed and time. Vector quantities, on the other hand, have both magnitude and direction. Examples in kinematics include displacement, velocity, and acceleration.