S = a + bt + c?^2. What are the dimensions of a, b, c?

[Aron Ronnie]

The distance covered by a body in time t is given by the relation S = a + bt + c?^2. What are the dimensions of a, b, c? Also write the quantities they represent?

 

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[Harry_the_cat]

Exactly what do you mean by dimensions? Does it mean units of measurement?

 

[Aron Ronnie]

This is how the problem in the paper I received is stated. :/

@Harry_the_cat @mmm4444bot

 

[Deleted member 4993]

The distance covered by a body in time t is given by the relation S = a + bt + c?^2. What are the dimensions of a, b, c? Also write the quantities they represent?

View attachment 28823

First decide the dimension of "S " & "t". Actually those are given -but write it out explicitly anyway. Insert those in the given equation.

 

[Steven G]

The unit of each each term, a, bt and ct^2 must be distance.

So a is in distance.
bt must be in distance and t is in time. So b must be in distance/time
How about c?