# How do you find velocity with non constant acceleration?

## How do you find velocity with non constant acceleration?

1. The acceleration is a function of time a(t). Then the velocity is v(t)=vc+∫a(t)dt.
2. The acceleration is function of position a(x). Then the velocity as a function of position is 12v(x)2=wc+∫a(x)dx.
3. Lastly, the acceleration is a function of velocity a(v). Then the time as a function of velocity us t(v)=tc+∫1a(v)dv.

What happens to velocity If acceleration is not constant?

The acceleration was not constant because the force was not constant. P.S. In cases where acceleration is constant at some non-zero value, velocity will be changing.

What is non constant acceleration?

Non-uniform acceleration constitutes the most general description of motion. It refers to variation in the rate of change in velocity. Simply put, it means that acceleration changes during motion.

### What is the difference between constant and non constant acceleration explain in terms of velocity?

A constant velocity of an object ensures that the rate of change of velocity with time is null and hence the acceleration of the object is zero. A constant acceleration of an object ensures that the velocity of the object is changing continuously with time and the velocity will not be constant.

What causes a non zero acceleration?

Acceleration results from a change in velocity. Despite the speed remaining constant, velocity is a vector quantity and will change if the car changes direction. In rounding the turn, there is a change in the direction of the velocity, but not in the magnitude. This change in direction causes a non-zero acceleration.

Can velocity and acceleration point in opposite direction?

Yes, that is possible. You can have a body with positive velocity but negative acceleration (i.e. retardation actually). So, assume a car moving with an initial velocity of 10m/s in +ve x direction but then having a negative acceleration of -5m/s^2 in +ve x direction.

#### Does constant velocity mean 0 acceleration?

First, constant speed does not mean zero acceleration. An object could be going on a curved path at constant speed. The object has an acceleration. Zero acceleration means constant velocity.

Is acceleration and constant velocity the same?

An object with a constant acceleration should not be confused with an object with a constant velocity. Don’t be fooled! If an object is changing its velocity -whether by a constant amount or a varying amount – then it is an accelerating object. And an object with a constant velocity is not accelerating.

What is velocity vs acceleration?

Velocity is the rate of displacement of an object. It is measured in m/s. Acceleration is the rate of change of velocity of an object.