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 :
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
with
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