How far is the rocket from the launch pad 8.50s later when the rocket engine runs out of fuel?

Not enough info.

To determine the distance of the rocket from the launch pad 8.50 seconds later when the rocket engine runs out of fuel, we need to know the initial velocity of the rocket, as well as any acceleration or deceleration during its flight.

Let's assume that the rocket starts from rest at the launch pad and accelerates uniformly until the fuel runs out. In this case, we can use the basic kinematic equation:

distance = initial velocity * time + (1/2) * acceleration * time^2

Since the rocket starts from rest, the initial velocity is 0 m/s. We do not have the information on the acceleration, so we can't provide an exact answer. However, we can still explain how to calculate it if you have the required data.

If you have the acceleration information, you can substitute that value into the equation along with the given time of 8.50 seconds to find the distance traveled by the rocket.