Pls help, sorry for the trouble

Question

Link to image of the problem

Thank you!

Answer 1

"Speed is a scalar while velocity is a vector"

True.

"Speed includes a direction, but velocity does not"

False -- it is the other way around.

"Speed is a vector while velocity is a scalar"

False -- it is the other way round.

"Velocity can be negative, but speed cannot"

This sentence includes two claims:

"Speed cannot be negative" -- that is true.

"Velocity can be negative" -- that statement is too ambiguous to give a yes or no answer.

Velocity is a vector, i.e., a sequence of numbers, called "coordinates".

It is a sequence of 3, 2 or just 1 coordinate depending on the dimensionality of the space considered.

Any one of the coordinates can be positive or negative.

So in case of a 1-dimensional space velocity can indeed be negative.

If it was me, I would mark the statement as true, because in 1-dimensional space speed can be negative.

"Velocity includes a direction, but speed does not"

True

"Speed can be negative, but velocity cannot."

The first half of the statement is false, the second half is ambiguous as explained above.

I would mark the whole statement as false.