Final answer:
The magnitude of the shuttle's velocity 10 seconds after it enters the upper atmosphere is 10,500 m/s.
Step-by-step explanation:
To find the magnitude of the shuttle's velocity 10 seconds after it enters the upper atmosphere, we need to use the equation:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in the given values:
v = 11,200 m/s - 70 m/s² * 10 s
Simplifying the equation:
v = 11,200 m/s - 700 m/s
v = 10,500 m/s
where v is the final velocity, u is the initial velocity.
Therefore, the magnitude of the shuttle's velocity 10 seconds after it enters the upper atmosphere is 10,500 m/s.