No, the direction of acceleration is not necessarily the same as the direction of velocity.
Acceleration is a vector quantity that represents the rate of change of velocity with respect to time. It has both magnitude and direction.
Velocity, on the other hand, is also a vector quantity that describes the rate at which an object changes its position. It has both magnitude and direction as well.
The direction of acceleration depends on whether an object is speeding up, slowing down, or changing direction. If an object is accelerating in the same direction as its velocity, it will speed up. If it is accelerating in the opposite direction, it will slow down. If the acceleration is perpendicular to the velocity, it will cause the object to change direction.
In summary, while velocity and acceleration are related, they are distinct quantities with their own magnitudes and directions. The direction of acceleration can be the same as, opposite to, or perpendicular to the direction of velocity, depending on the specific motion of the object.