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

1 Answer
Mar 7, 2017

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 5ms^(-1)

its speed is 5 ms^(-1) and is a scalar

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 " "5 m" " in the +x-axis then" " 10 m " "in the opposite direction, it ends up at" " -5m " "from the origin.

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

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

if we use vector notation:

the object goes:" "5veci-10veci=-5veci

So displacement can be negative.

at this point the object can move with a velocity of, say, " "2veci ms^(-1)
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.