Question

In 2D kinematics, which of the following variables is not a vector and therefore cannot be split into x and y components? 1) Displacement 2) Time 3) Acceleration 4) Velocity​

Answer 1

A vector is a mathematical element that represents the segment of a line, with a given orientation, and are usually written like:

v = <x, y>

Here the vector has 2 components, but it can have more.

The correct option is 2: time.

Now we want to see which ones of these can't be written as a vector, let's analyze each one.

1) Displacement.

We can "break" the displacement into displacement in the x-direction and displacement in the y-direction, thus this can be written as a vector.

2) Time.

Time is an independent variable, and it is not a vector (time has a single dimension).

3) Acceleration.

We can break acceleration into an acceleration in the x-direction and acceleration in the y-direction, thus acceleration is a vector.

4) Velocity.

Exactly similar to acceleration, velocity is a vector.

Then the only correct option is 2, Time.

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