# Question: a missile m is launched from site a19002000 at time...

###### Question details

A missile M is launched from site A(1900,200,0) at time t=0. A defensive unit determines the trajectory of M to be given by:

m(t)=(1900+700⋅t,200+420⋅t,0+1350⋅sin(π/20⋅t))

At time t=2, a defensive missile D is launched from site B(−7900,−9370,0). If the flight of D is a linear motion ℓ(t), design ℓ so that D intercepts M at time t=10.

**Solution:** At time t=10, the position vector of
M is

m(10) = [ ___ ,___ ,___ ]

Therefore the velocity vector of D is

v = [ ___ , ___ , ___ ]

Consequently,

ℓ(t) = (-7900, -9370, 0) + ( t - ___ ) [ ___ , ___ , ___ ]