Question: A projectile is fired northward (in the positive y-direction) out to sea from the top of a seaside cliff 384 ft high. The projectile’s initial velocity vector is Vo = 200j + 160k. In addition to a downward (negative z-direction) gravitational acceleration of 32 ft/s, it experiences in flight an eastward (positive x-direction) acceleration of 2 ft/s2 due to spin.

a. Find the projectile’s velocity and position vectors t seconds after it is fired.

b. How long is the projectile in the air?

c. Where does the projectile hit the water (z=0)? Give the answer by telling how far north out to sea and how far east along the coast is its impact position.

d. What is the maximum height of the projectile above the water?