# A body is moving according to the equation 𝑥 = 𝑎𝑡 + 𝑏𝑡 2 − 𝑐𝑡3 where 𝑥 = displacement and 𝑎, 𝑏 and 𝑐 are constants. The acceleration of the body is

Question : A body is moving according to the equation 𝑥 = 𝑎𝑡 + 𝑏𝑡 2 − 𝑐𝑡3 where 𝑥 = displacement and 𝑎, 𝑏 and 𝑐 are constants. The acceleration of the body is

(A) 𝑎 + 2𝑏𝑡

(B) 2𝑏 + 6𝑐𝑡

(C) 2𝑏 − 6𝑐𝑡

(D) 3𝑏 − $6ct^{2}$