Velocity of projectile with both quadratic and constant resistive force
Suppose we have a projectile of mass m that impacts a material with velocity . As it travels through the material it is subject to the resistive force . How can I determine , the velocity of the projectile at time t where t=0 is the impact time, and , the velocity of the projectile when it reaches a penetration depth of p?
This question addresses v(t) for an exclusively quadratic resistive force (), but is there a more general formula for when there is a constant component?