A 0.01 kg particle falls freely under Earth's gravity with an initial velocity of 10 m/s. Air resistance acts on the particle with a force proportional to its velocity (f = -kv). If the proportionality constant (k) is 0.05 Ns/m, find the particle's velocity at t = 0.2 seconds. Use g = 10 m/s² and e = 2.72.
1
\(4.94 \, \text{ms}^{-1}\)
2
\(5.95 \, \text{ms}^{-1}\)
3
\(1.27\, \text{ms}^{-1}\)
4
\(3.67 \, \text{ms}^{-1}\)