Question

An enemy spaceship is moving in pursuit of your starcruiser with a speed. as measured in your frame, of 0.40c The enemy ship fires a later-guided missile towards you at a speed of 0.70c relative to the enemy ship, What is the speed of the missile relative to you? If you measure that the enemy ship it 8.0 x 10 6 km behind you when the missile is fired, how much time, measured in your frame, will it take the missile and the guiding laser beam, respectively, to reach you. assuming that they have been fired by the ship at the same time?

just do a, cant reward more than 300 points, i will make the other part seperate so each will be 300

Answer 1

the speed of the missile as seen from A=(0.7*c+0.4*c)/sqrt(1+(0.7*c*0.4*c/c^2))=0.9727*c

b)time taken by the missile=8*10^6*1000 /(0.9727*3*10^8)=27.415 sec

time taken by the laser=8*10^6*1000 /(3*10^8)=26.667 sec