**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}

**Answer :** option (C)

**Solution :**

with
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**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}

**Answer :** option (C)

**Solution :**