# True of false? velocity and acceleration

• hannah2329
In summary, velocity and acceleration are not the same thing. While velocity refers to the rate of change in an object's position, acceleration refers to the rate of change in an object's velocity. It is possible for an object to have a constant velocity and a changing acceleration, such as when the object is moving at a constant speed but changing direction. Acceleration can also be in the same or opposite direction as velocity, affecting the object's speed. 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.
hannah2329

## Homework Statement

a negative acceleration must mean an object is slowing down.
if an object has a negative velocity and a negative acceleration the object is slowing down.
distance can never be negative
if an object has a negative velocity and a positive acceleration the object is speeding up.

## The Attempt at a Solution

true?
not sure at all
true?
false?

Last edited:
Explain what you think the answer is and why.

## 1. Is velocity and acceleration the same thing?

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.

## 2. Can an object have a constant velocity and a changing acceleration?

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.

## 3. Is acceleration always in the same direction as velocity?

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.

## 4. Can an object have a negative velocity and a positive acceleration?

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.

## 5. How are velocity and acceleration related?

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.

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