A car is moving to the right with a velocity of +10 m/s. Then the car starts to move right with a velocity of 15 m/s. Acceleration is occurring in what direction?

The acceleration is occurring in the direction of the velocity, which is to the right.

When the car starts to move right with a velocity of 15 m/s, it is experiencing a change in velocity. This change in velocity is caused by an acceleration in the same direction as the velocity, which is to the right. Therefore, the acceleration is also to the right.