Final answer:
The tangential component of the acceleration vector is in the direction of the tangential velocity, while the normal component is perpendicular to the tangential velocity.
Step-by-step explanation:
The tangential component of the acceleration vector is in the direction of the tangential velocity, while the normal component is in the perpendicular direction to the tangential velocity.
A) Along the curve, the tangential component of the acceleration is in the direction of the tangential velocity, and the normal component is perpendicular to the curve.
B) In the x-direction, the tangential component of the acceleration is in the same direction as the x-component of the velocity, and the normal component is in the y-direction. In the y-direction, the tangential component of the acceleration is in the same direction as the y-component of the velocity, and the normal component is in the x-direction.
C) In the radial direction, the tangential component of the acceleration is in the direction of the tangential velocity, and the normal component is perpendicular to the radial direction. In the transverse direction, the tangential component of the acceleration is perpendicular to the radial direction, and the normal component is in the radial direction.
D) In the positive direction, the tangential component of the acceleration is in the direction of the tangential velocity, and the normal component is in the perpendicular direction. In the negative direction, the tangential component of the acceleration is opposite to the direction of the tangential velocity, and the normal component is still in the perpendicular direction.