Suppose an equation relating position, x, to time, t, is given by x = bt³ + ct⁴, where b and c are constants. The dimensions of b and c are respectively:
(a) [b] = length/time and [c] = length
(b) [b] = length/time and [c] = length/time²
(c) [b] = length/time³ and [c] = length/time⁴
(d) [b] = length and [c] = length/time