Question

The displacement x of a particle varies with time according to the relation $x = \frac{a}{b}(1 - e^{-bt})$. Then select the false alternatives.
(a) At $t = \frac{1}{b}$, the displacement of the particle is nearly $\frac{2}{3} \bigg \lgroup \frac{a}{b}\bigg \rgroup$
(b) the velocity and acceleration of the particle at t = 0 are a and –ab respectively
(c) the particle cannot go beyond $x = \frac{a}{b}$
(d) the particle will not come back to its starting point at t → ∞

Answer 1

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