APFIVE Velocity with Linear Drag Force
A projectile is fired with initial velocity v₀ through air, experiencing a resistive force F⃗r = -kv⃗. If the projectile’s mass is m and the resistive constant is k, which expression correctly gives the projectile’s velocity as a function of time?
A
v⃗(t) = v⃗₀ - (k/m)t
B
v⃗(t) = v⃗₀(1-e^(-kt/m))
C
v⃗(t) = v⃗₀e^(-kt/m)
D
v⃗(t) = v⃗₀/(1+kt/m)
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