Question

If x = a + bt² where x is in metres t is in HOURS (hr), what will be units of a and b.
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Answer 1

Answer:

If x = a + bt² where x is in meters(m) t is in hours (hr), then unit of a will be m and unit of b will be m/hr².

Explanation:

Given that,

   x = a + bt²

According to the principle of homogeneity of dimension, an equation is dimensionally correct if and only if each term has the same dimension on both sides of the equation.

Thus, [x] = [a] = [bt²]

         [a] = [x] = m

      [bt²] = [x]

        [b] = [x / t²] = m / hr²

if x is in meters (m) and t is in hour (hr), then unit of a will be m and unit of b will be m/hr².