Two spacecraft A and B are traveling directly towards each other, intending to meet to dock together. Mission control on Earth initially sees spacecraft A moving with a speed of 153.5 m/s and spacecraft B moving with a speed of 134.0 m/s. Each spacecraft will need to come to a complete stop when they meet, and each will slow down using its rockets. The rockets on spacecraft A cause it to slow down at a constant rate of 15.1 m/s2, and the rockets on spacecraft B cause it to slow down at a constant rate of 21.0 m/s2. Spacecraft A turns on its rockets first. At what distance d from spacecraft A should spacecraft B turn on its rockets in order for the two spacecraft to meet, have zero velocity relative to the Earth, and arrive at the same time?

Two spacecraft A and B are traveling directly towards each other, intending to meet to dock together. Mission control on Earth initially sees spacecraft A moving with a speed of 153.5 m/s and spacecraft B moving with a speed of 134.0 m/s. Each spacecraft will need to come to a complete stop when they meet, and each will slow down using its rockets. The rockets on spacecraft A cause it to slow down at a constant rate of 15.1 m/s2, and the rockets on spacecraft B cause it to slow down at a constant rate of 21.0 m/s2. Spacecraft A turns on its rockets first. At what distance d from spacecraft A should spacecraft B turn on its rockets in order for the two spacecraft to meet, have zero velocity relative to the Earth, and arrive at the same time?