# Do velocity and acceleration have the same units?

## Do velocity and acceleration have the same units?

Velocity is the rate of change of position with respect to time, whereas acceleration is the rate of change of velocity. Both are vector quantities (and so also have a specified direction), but the units of velocity are meters per second while the units of acceleration are meters per second squared.

## How is velocity related to acceleration?

Acceleration is the rate of change of velocity. If an object is changing its velocity, i.e. changing its speed or changing its direction, then it is said to be accelerating. Acceleration = Velocity / Time (Acceleration)

**Why does acceleration decrease as velocity increases?**

Yes, it is possible for acceleration to decrease, while the velocity increases. Acceleration is the change of velocity with respect to time. Therefore, when the acceleration decreases, it means that the change of velocity is less, in other words, the velocity is increasing slower.

**Is velocity the same as acceleration?**

Well, acceleration is the change in that velocity. Acceleration points the same direction as velocity while you are maintaining or increasing speed. Velocity is going this direction. Acceleration is going this direction while you are maintaining or increasing speed.

### Is velocity directly proportional to acceleration?

Velocity is directly proportional to time when acceleration is constant (v ∝ t).

### Will the acceleration increase or decrease with increase in velocity?

So one can see that a constant (and non-zero) acceleration will always be connected with a steady increase or decrease in velocity.

**What happens to acceleration when velocity rises?**

When an object is speeding up, the acceleration is in the same direction as the velocity. Thus, this object has a positive acceleration. In Example B, the object is moving in the negative direction (i.e., has a negative velocity) and is slowing down. Thus, this object has a negative acceleration.

**What units are used for acceleration Why do we use this unit?**

Because acceleration is velocity in m/s divided by time in s, the SI units for acceleration are m/s2, meters per second squared or meters per second per second, which literally means by how many meters per second the velocity changes every second.

## Is velocity inversely proportional to acceleration?

The longer the acceleration, the greater the change in velocity. Change in velocity is directly proportional to time when acceleration is constant.

## What is the relation between velocity and acceleration at the highest point of projectile path?

Notes: At the highest point of projectile path, the velocity and acceleration are perpendicular to each other.

**Why does velocity increase acceleration?**

Since acceleration a is deferential of velocity v, so as Michael pointed out it is possible to have a situation that v>0 while a=dv/dt<0. Acceleration is the rate of change of velocity defined by a=dv/dt, so even if acceleration is decreasing as long as it is positive it velocity would increase.

**Why does velocity increase and acceleration decrease?**