Question : The displacement of a particle is given by 𝑦 = 𝑎 + 𝑏𝑡 + 𝑐𝑡 2 − 𝑑𝑡4 . The initial velocity and acceleration are respectively
(A) 𝑏, −4𝑑
(B) −𝑏, 2𝑐
(C) 𝑏, 2𝑐
(D) 2𝑐, −4𝑑
Answer : option (C)
Solution :
The displacement of a particle is given by 𝑦 = 𝑎 + 𝑏𝑡 + 𝑐𝑡 2 − 𝑑𝑡4 . The initial velocity and acceleration are respectively
with
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