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A proposed mathematical model to calculate the velocity of a parachutist after deploying the parachute given...

A proposed mathematical model to calculate the velocity of a parachutist after deploying the parachute given by the equation: v(t) = 12(1 - 2/3 e-kt)

v(t) is the instantaneous velocity of the parachutist (m/s), t is the time in seconds, k = 4.5 is a constant

Determine an equation x(t) for the instantaneous position of the parachutist as a function of time and find a constant of integration (C) given that the parachute was deployed when distance above the ground was 4267.2m.

please show all workings out

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