Noelle C.

asked • 05/14/15

Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B?

Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B?

Stephanie M.

tutor
It's not quite clear what you're asking, since dimensions are usually length, width, height, etc. and B isn't a physical object. Are you looking for its units? If so, you'll want to think about the units of the other portions of the equation.
 
x measures displacement, something like height or distance, so its units will be something like feet or miles or meters. Let's go with meters.
 
t measures time, so its units will be something like seconds or minutes. You've got t2, so that's seconds2 or minutes2. Let's go with seconds squared.
 
The units on the right need to match the units on the left. So, B's units need to get you from seconds squared to meters. That means it has to be meters per second squared:
 
meters = (meters/seconds2)(seconds2)
meters = (meters×seconds2)/(seconds2)
meters = meters
 
I hope this helps.
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05/14/15

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