No, velocity and acceleration are not the same thing. Velocity refers to the rate at which an object changes its position, while acceleration refers to the rate at which an object changes its velocity.
Yes, an object can have a constant velocity and a changing acceleration. This can happen if the object is moving at a constant speed but changing direction, which would result in a changing acceleration.
No, acceleration can be in the same or opposite direction as velocity. If the acceleration is in the same direction as velocity, the object's speed will increase. If the acceleration is in the opposite direction, the object's speed will decrease.
Yes, an object can have a negative velocity and a positive acceleration. This would mean that the object is moving in the negative direction, but its speed is increasing.
Velocity and acceleration are related through the formula a = ∆v/∆t, where a is acceleration, ∆v is the change in velocity, and ∆t is the change in time. This means that the change in velocity over time is equal to the acceleration of the object.