**Answer:**

the diferencial equation is

dv(t)/dt + (k/m) v(t) + g = 0

**Explanation:**

the differential equation for determining the instantaneous speed can be found from Newton's second law:

F= m*a

F drag + F gravity = m*a

(-k*v) + (-m*g) = m*a , where g is acceleration due to gravitational force

since a = dv/dt and dividing both sides by m

dv(t)/dt = -g- k/m v(t)

or

dv(t)/dt + (k/m) v(t) + g = 0

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Find another answersPhysics, published 10.03.2023