Question : The displacement of the particle varies with time according to the relation 𝑥 =𝑘 𝑏 [1 − 𝑒 −𝑏𝑡]. Then the velocity of the particle is
(A) k\left( e^{-bt}\right)
(B) \dfrac{K}{b^{2}e^{-bt}}
(C) kbe^{-bt}
(D) none of these
Answer : option (A)
Solution:
![The displacement of the particle varies with time according to the relation 𝑥 =𝑘 𝑏 [1 − 𝑒 −𝑏𝑡]. Then the velocity of the particle is](https://i0.wp.com/ezeenotes.in/wp-content/uploads/2022/04/673.png?resize=501%2C83&ssl=1)