A man bungee jumps off a cliff and free falls for 3 seconds. The bungee cord stops the jumper in 5 seconds. How far did the man fall in total?
X = V0t + 1/2at2
The Attempt at a Solution
Xf = X1 + X2
X1 = V1it1 + 1/2a1t12
X1 = 0 * 3 + 1/2 * -9.8 * 32
X1 = -44.1m or 44.1m (not sure if I should keep this absolute value or not...)
X2 = V2it2 + 1/2a2t22
v2i = v1f = a1 * t1
a2 = Δv/t = (v2f - v2i)/t = (v2f - (a1*t1))/t2
a2 = (0 - (-9.8*3))/5 = 5.88
X2 = (-9.8 * 3) * 5 + 1/2 * 5.88 * 25
X2 = either -73.5m, 73.5m, or 220.5m [(9.8*3)*5 + 1/2*5.88*25] ? depending on whether everything is in absolute values or not, once again, I'm not sure.
Xf = -44.1m + -73.5m
Xf = -117.6m or 117.6m