The motion of a body is given by the equation dV(t)/dt = 0.6 - 3V(t)(adsbygoogle = window.adsbygoogle || []).push({});

where V(t) is the speed (in m/s) at time t (in second). If the body was at rest at t = 0

1) What is the magnitude of the inital acceleration?

2) The speed of the body varies with time as

(A) [tex](1 - e^-^3^t) [/tex]

(B) [tex]2(1 - e^-^3^t)[/tex]

(C) [tex]\frac{2}{3}(1 - e^\frac{-3t}{2})[/tex]

(D) [tex]\frac{2}{3}(1 - e^\frac{-3t}{3})[/tex]

(B) is the correct answer for Q(2) . But how do you arrive at it? And how did they manage to get a 'e' in the answer?

Please help.

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# Homework Help: Motion of a body -calc

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