#### Question

# If an object has zero acceleration, does that mean its velocity is zero?

I know that if an object has constant velocity than the acceleration is zero, but what if the acceleration is zero? Does that mean its velocity is too?

Could you give an example please?

#### Answer

No. An accelerated object has a velocity, a non-accelerated object still can have a velocity.

This is seen the easiest and most thorough way by looking at how velocity and acceleration and length are connected to each other

x = dv/dt

means the length that was taken by the object is the differential of the velocity

x = dv/dt = d^2a/dt^2

means the length that the object has traveled is the second derivation of acceleration

or

v=da/dt

Now if you just assume that acceleration is 0 that would mean that the derivation of the velocity is 0, which means it has no slope! This would mean the velocity is a constant factor and can thus be ANY value as long as it's constant over time with no changes.

In words: the change of velocity over time is acceleration, if the velocity remains constant and does not change over time the acceleration equals Zero.

Grilled cheese.

well not necessarily because velocity is distance over time you can have no acceleration but still be moving

no the velocity could be 100mph if its constant the acceleration would be zero. The only acceleration would be getting from standing to terminal velocity and then back to zero

Not necessarily. You said an example where it wouldn't be the case. If the object is already moving with constant velocity then the acceleration is zero. Zero acceleration just means it isn't slowing down or speeding up.

no. acceleration is the change of velocity over a period of time/distance. you can travel at a constant speed and not accelerate.

if you are in travelling at 60 mph for ten minutes, you arent accelerating but you do have velocity