A projectile enters a resisting medium at x = 0 with an initial velocity v 0 =

Question:

A projectile enters a resisting medium at x = 0 with an initial velocity v₀ = 1000 ft/s and travels 3 in. before coming to rest. Assuming that the velocity of the projectile is defined by the relation v = v₀ - kx, where v is expressed in ft/s and x is in feet, determine

(a) The initial acceleration of the projectile,

(b) The time required for the projectile to penetrate 2.5 in. into the resisting medium.