### Video Transcript

What is the unit found by multiplying the unit metres per second squared by the unit seconds?

Okay, so, in this question, what we’re trying to do is to find the new unit that we get when we multiply the unit metres per second squared by the unit seconds. So, to answer this question, we can first recall that seconds squared is equivalent to seconds multiplied by seconds. Because anything raised to the power of two is the same thing as that thing multiplied by itself.

And so, we can see what we have in the numerator is a unit of metres which is a unit of length. And in the denominator of this fraction, we have two powers of the unit seconds, where the second is a unit of time. And so, because we have two powers of a unit of time in the denominator, and we’re then multiplying this fraction by a power of time, that power of time will cancel with one of the powers of time in the denominator. And so, what we’re left with is simply the unit metres per second.

Now it’s also worth noting that if we were taking the units metres per second squared as we did earlier and multiplying it by another unit of time, let’s say minutes, then, because this is a unit of time, we could convert it into seconds. And therefore, multiplying metres per second squared by minutes could also be represented by a unit of metres per second, or any other unit of length divided by a unit of time.

Now we’re not trying to say that metres per second squared multiplied by minutes is equal to metres per second, but instead what we’re saying is that metres per second squared multiplied by minutes could be represented by metres per second, or for that matter by any length divided by a unit of time. But anyway, so, to answer our question, we can say that the unit found by multiplying the unit metres per second squared by the unit seconds is metres per second.