A jet makes a landing traveling due east with a speed of 120 m/s .If the jet comes to rest in 14.0 s , what is the magnitude of its average acceleration?
(change in speed) / time = acceleration
To find the magnitude of the average acceleration, we can use the equation:
average acceleration = change in velocity / time
Here, the jet is traveling due east with a speed of 120 m/s and comes to rest in 14.0 s. Since it comes to rest, its final velocity is 0 m/s.
Therefore, the change in velocity is:
change in velocity = final velocity - initial velocity
= 0 m/s - 120 m/s
= -120 m/s
Note that we are getting a negative value because the velocity is changing in the opposite direction (from east to west).
Now, we can substitute the values into the formula:
average acceleration = (-120 m/s) / (14.0 s)
Calculating this expression, we get:
average acceleration = -8.57 m/s^2
The magnitude of the average acceleration is the absolute value of the average acceleration, and in this case, it is:
magnitude of average acceleration = |-8.57 m/s^2|
= 8.57 m/s^2
Therefore, the magnitude of the average acceleration of the jet is 8.57 m/s^2.