A particle moves in a straight line such that at time $t$ seconds after leaving a fixed point \(O\

Question

A particle moves in a straight line such that at time $t$ seconds after leaving a fixed point $O$, its velocity $v$ m/s is given by $v = 6e^{-\frac{1}{4}t}$. Find An expression for the displacement of the particle from $O$ The displacement at $t = 6$

Accepted Answer

(a) $s=24(1-e^{-t/4})\text{ m}$ (b) $18.6\text{ m}$

Kinematics - Finding the Equation of Displacement from Velocity

Kinematics - Finding the Equation of Displacement from Velocity

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