Luke Skywalker is flying his X-wing at 840 m/s down the DeathStar trench.
Darth Vader is 320 meters behind him, going 740 m/s.
Luke's ship is going as fast as it can, so its speed isn'tchanging. Darth Vader's ship is gaining speed at a rate of 20.6m/s2. When Darth Vader gets to within 145 m, he will beclose enough to lock on with his targetting system and blow upLuke's ship.
(a) How much time does Luke have to use the Force and launch historpedoes at the Death Star already?
seconds.
(b) What is the furthest Luke's ship ever gets ahead of the TIEfighter?
m ahead.
Pro-tip: for as long as Luke's speed is faster than Vader's,the distance between them continues to increase and hasn't yetreached its maximum value.