When a particle is projected vertically upward with an initial velocity of v 0 , it experiences an acceleration a (g kv), where g is the acceleration due to gravity, k is a constant, and is the velocity of the particle Determine the maximum height reached by the particle

Question: When a particle is projected vertically upward with an initial velocity of v 0 , it experiences an acceleration a = -(g + kv), where

When a particle is projected vertically upward with an initial velocity of v₀, it experiences an acceleration
a = -(g + kv²), where g is the acceleration due to gravity,
k is a constant, and is the velocity of the particle.
Determine the maximum height reached by the particle.

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