# Can velocity be positive with a negative displacement? Explain please :)

##### 1 Answer

Yes see explanation

#### Explanation:

There are two types of quantities, and it is important to know the difference;

1) Scalar quantities. These have magnitude ie. size only .

For example: temperature.

2) Vector quantities, these have BOTH size and direction.

to show the difference:

Consider an object moving North

its speed is

but its velocity of ** #5ms^(-1)# North** is a vector.

Now distance is as scalar, but displacement is a vector

so if an object starts at the origin and moves

it has moved **a distance of #" "15m" "#**

but its **displacement is #" "-5m." "#**

if we use vector notation:

the object goes:

So displacement can be negative.

at this point the object can move with a velocity of, say,

so an object can have positive velocity and negative displacement

In fact the constant acceleration equations can be written into vector form, thus taking all of this into account.