At time t=0 a projectile passes through the point (0,0,192) with a velocity v=10i-2j+16k. Because of spin and gravity, the projectile experiences an acceleration given by a=2i-32k.

a. Find the velocity v(t) and position vector R(t) at time t>0.

b. At what time t does the projectile hit the ground?

c. Find the location of the projectile when it hits the ground