Two rockets are launched at a fireworks performance. Rocket A is launched with an initial velocity vo and rocket B is launched 4 seconds later with the same initial velocity. The two rockets are timed to explode simultaneously at a height of 80 m, as A is falling and B is rising. Assuming a constant acceleration g = 9.81 m/s², determine (a) the initial velocity vo, (b) the velocity of B relative to A at the time of the explosion.

Two rockets are launched at a fireworks performance. Rocket A is launched with an initial velocity vo and rocket B is launched 4 seconds later with the same initial velocity. The two rockets are timed to explode simultaneously at a height of 80 m, as A is falling and B is rising. Assuming a constant acceleration g = 9.81 m/s², determine (a) the initial velocity vo, (b) the velocity of B relative to A at the time of the explosion.