Answer:
-83.33 [tex]m/s^2[/tex]
Step-by-step explanation:
Given that:
Initial speed of satellite = 10,000 m/s
Final speed of satellite = 5,000 m/s
Time taken = 1 minute
Let us convert it into seconds.
Time taken = 1 minute = 60 seconds
Let us have a look at the formula:
[tex]v=u+at[/tex]
where [tex]v[/tex] is the final speed
[tex]u[/tex] is the initial speed,
[tex]t[/tex] is the time taken and
[tex]a[/tex] is the acceleration
[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]
Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.
So, the answer is:
-83.33 [tex]m/s^2[/tex]
