Problem 44365. An asteroid and a spacecraft

🚀 Imagine a non-relativistic simple situation.

Assume positions p0, p1, p2, and p3 are three dimensional Cartesian coordinates.

Your spacecraft started from the position p0 at time t0.

Your spacecraft is moving with a constant velocity.

Your spacecraft is expected to reach a star at the location p1 at time t1.

You just heard over the radio that an asteroid has been identified at the location p2 at time t0.

The asteroid is moving with a constant velocity.

The asteroid is expected to reach another star at the location p3 at time t1.

You need to write a code 'safetrip' in MATLAB to return true if the minimum distance between your spacecraft and the asteroid will be more than the distance d during the time interval between t0 and t1, otherwise return false.