Question

the motion of a body is given by the equation dvb-tt is equals to 6 - 3 be very speed in metre per second and T is the time in second the body is at rest at t is equal to zero display the speed varies with time as ​

Answer 1

Equation of v = 2 (1 - e^-3t)

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Answer 2

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dt/dv

=6−3v

6−3v

dv

=dt

ln(6−3v)/(−3)=t+c

At t=0, v=0

Therefore c = ln(6)

On simplifying it gives v = 2(1-e^{-3t})v=2(1−e ^−3t )

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