Final answer:
The speed of the plane as it takes off would be 8.00x10^4 m/s.
Step-by-step explanation:
For the first question, we need to use the equation for momentum:
momentum = mass x velocity
Given that the momentum is 1.60x10^9 kg.m/s and the mass is 2.00x10^4 kg, we can rearrange the equation to solve for velocity:
velocity = momentum / mass
Plugging in the values, we get:
velocity = (1.60x10^9 kg.m/s) / (2.00x10^4 kg)
velocity = 8.00x10^4 m/s
So, the speed of the plane as it takes off would be 8.00x10^4 m/s.