Answer:
[tex]\boxed {\boxed {\sf a= -4 \ m/s^2}}[/tex]
Explanation:
Acceleration is the rate at which an object changes its velocity. It is the change in velocity over the change in time.
[tex]a= \frac{ \Delta v}{\Delta t}[/tex]
The change in velocity is the difference between the final velocity and the initial velocity.
- Δv= final velocity - initial velocity
The airplane touches down at 37 meters per second, the slows to 5 meters per second. The final is 5 m/s and the initial is 37 m/s.
- Δv= 5 m/s - 37 m/s= -32 m/s
The change in time is also how much time it took for the velocity to change. In this case, the change in time is 8 seconds.
Now we know the values for the variables:
Substitute the values into the formula.
[tex]a= \frac{-32 \ m/s}{8 \ s}[/tex]
Divide.
[tex]a= -4 \ m/s /s[/tex]
[tex]a= -4 \ m/s^2[/tex]
The acceleration is -4 meters per square second. Since the acceleration is negative, the airplane is slowing down.
