What Are the Units of Constants A and B in the Equation x=At+Bt²?

[tavo0116]

The position of an object is given by x=At+Bt^2, where x is in meters and t is in seconds.
a)What are the units of A?
(express answers in terms of m and s)
b)What are the units of B?
(express answers in terms of m and s)

I know this may sound silly, but I really don't understand what the questions are asking.
Please help, thank you.

 

[ehild]

The dimension of x is length, its unit is meter. The dimension of both At and Bt^2 has to be length. You can multiply and divide dimensions, but you can add quantities of identical dimension only.
So the dimension of At [At]=dimension of A [A] times dimension of time [T], and it has to be length [L]: [At]=[A][T]=[L]. What is the dimension of A then?
If you measure length in meters and time in seconds, what is the unit of A? ehild

 

[tavo0116]

The dimension of x is length, its unit is meter. The dimension of both At and Bt^2 has to be length. You can multiply and divide dimensions, but you can add quantities of identical dimension only.
So the dimension of At [At]=dimension of A [A] times dimension of time [T], and it has to be length [L]: [At]=[A][T]=[L]. What is the dimension of A then?
If you measure length in meters and time in seconds, what is the unit of A?


ehild

Isn't it meters?

 

[ehild]

No. When multiplied by second, it will be meters.

ehild