We can derive a different governing equation for the missile in “Seek-Lock-Strike!“.

Fig. 1

Looking from a different viewpoint (Fig. 1), we see

Solving (1) for ,

We also have

Equate (1) and (2) gives

The governing eqaution emerges after differentiate (4) with respect to

We let so and express (5) as

where

Fig. 2

Using Omega CAS Explorer, we compute the missile’s striking time (see Fig. 3). It agrees with the result obtained previously.

Fig. 3

*Exercise-1* Obtain the missile’s trajectory from (*).