Velocity with Linear Drag Force
A projectile of mass m is fired with an initial velocity v⃗₀. The projectile is subject to a resistive force F⃗r = -kv⃗, where k is a positive constant. Which of the following expressions correctly describes the velocity of the projectile as a function of time t?
A
v⃗(t) = v⃗₀(1-e^(-kt/m))
B
v⃗(t) = v⃗₀e^(-kt/m)
C
v⃗(t) = v⃗₀ - (k/m)t
D
v⃗(t) = v⃗₀/(1+kt/m)
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