A projectile enters a resisting medium at x 0 with an initial velocity v 0 1000 ft s and travels 3 in before coming to rest Assuming that the velocity of the projectile is defined by the relation v v 0 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 X

Question: A projectile enters a resisting medium at x = 0 with an initial velocity v 0 = 1000 ft/s and travels 3 in. before coming

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.

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