The space shuttle, together with its central fuel tank and two booster rockets, has a to...

The space shuttle, together with its central fuel tank and two booster rockets, has a total mass of 2.04(10⁶) kg at liftoff. Each of the two booster rockets produces a thrust of 11.80(10⁶) N, and each of the three main engines of the shuttle produces a thrust of 2.00(10⁶) N. The specific impulse (ratio of exhaust velocity to gravitational acceleration) for each of the three main engines of the shuttle is 455 s. Calculate the initial vertical acceleration a of the assembly with all five engines operating and find the rate at which fuel is being consumed by each of the shuttle’s three engines.