Given a(t), then find:

v(t+dt) = v(t) + a(t)*dt

x(t+dt) = x(t) + v(t)*dt

Now use this updated values of x and v to calculate a(t+dt) and so on...

(See section 6.5 in Serway)

Problem 6-44 set-up:



a) Terminal speed = 0.98 m/s

b) After about 0.67 s the leaf reaches 99.9 % of Vterm, when is about 1.4 m high.

The fall to the ground takes about 2.14 s, compared to 0.639 s for free fall case