Where is the acceleration of the end of the hour hand directed? Will the acceleration be perpendicular to the instantaneous velocity?

The acceleration of the end of the watch hand is uneven, because the arrow moves, then stops, therefore, the arrow has not only a normal, but also a tangential component of acceleration. Therefore, the acceleration will not be perpendicular to the instantaneous velocity vector.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.