A particle moves in a straight line from a point $O$, such that $t$ seconds after leaving \

Question

A particle moves in a straight line from a point $O$, such that $t$ seconds after leaving $O$, its velocity, $v$ m/s is given by $v = e^{0.2t} + 4$. Calculate the initial acceleration of the particle. Calculate the displacement of the particle when $t = 2$ s Will the particle return to $O$?

Accepted Answer

(a) $0.2\text{ m s}^{-2}$; (b) $(5e^{0.4}+3)\text{ m}$; (c) No

Kinematics - Differentiating Displacement and Velocity

Kinematics - Differentiating Displacement and Velocity

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