A skydiver in free fall subject to gravitational acceleration and air resistance has a velocity given by where v T is the terminal velocity and a 0 is a physical constant Find the distance that the skydiver falls after t seconds, which is eat 1 v(t) vr eat d0) vo)...

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A skydiver in free fall subject to gravitational acceleration and air resistance has a velocity given by

Question:

A skydiver in free fall subject to gravitational acceleration and air resistance has a velocity given by eat – 1 v(t) = vr eat where v_T is the terminal velocity and a > 0 is a physical constant. Find the distance that the skydiver falls after t seconds, which is d0) = [vo)