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If x=a+bt+ct2, where x is in meter and t is in second. What is the unit of b and c ?

Question

If x=a+bt+ct2, where x is in meter and t is in second. What is the unit of b and c ?

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Solution

The unit of b can be determined by rearranging the equation to solve for b:

b = (x - a - ct^2) / t

Since x is in meters and t is in seconds, the unit of b is meters per second (m/s).

The unit of c can be determined by rearranging the equation to solve for c:

c = (x - a - bt) / t^2

Since x is in meters and t is in seconds, the unit of c is meters per second squared (m/s^2).

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