the dimensions of an acceleration are its components throught the y axis and the x axis

can you please help me solve this

Absolutely not.

This was why i asked if you knew about dimensions.

You are right that the x and y values are the components of the vector acceleration.

But the dimensions are quite a different thing entirely.

Dimensions are connected to the units we use for a quantity and it often helps to write down the units when we want to find out the dimensions.

Dimensions are a way of relating the physical interpretation of any quantity to a few basic (fundamental) quantities.

For mechanics we have

**M**ass,

**L**ength, and

**T**ime, symbols M, L and T.

(We add add a few more additioanl ones for thermal, electrical and optical quantities)

The dimension of a quantity is the

**product (not sum) **of one or more of these basic quantites, each raised to a specific power.

This is best shown by examples.

The dimensions of distance are Length raised to the power 1, time raised to the power 0, and mass raised to the power 0

\(\displaystyle DimensionsofLength = {L^1}{T^0}{M^0} = L\)

velocity is

\(\displaystyle Velocity = \frac{{dis\tan ce}}{{time}} = {L^1}{T^{ - 1}}{M^0} = {L^1}{T^{ - 1}}\)

So if velocity is meteres per second than acceleration is metres per second per second can you follow this pattern and find the dimensions of acceleration for practice ?

Then we can look at finding the dimensions of B