What are the dimensions of constants a and b in d=at+bt²?

[emma123]

i need some help with this:

the distance d that a certain particle moves may be calculated from the expression d=at+bt^2, where a and b are constants; and T is the elapsed time. complete the following statement: the dimensions of the quantities a and b are..., respectively

help please i don't get it... thanks

 

[Astronuc]

If d is in units of distance, e.g. meters, and time is in units of time, e.g. seconds (s), then if one were to equate d = v*t, v would have to be in units of velocity (speed), e.g. m/s,

distance = (distance/time) * time or distance (m) = velocity (m/s) * time (s). Units must be consistent.

Think about the units of acceleration.