Final answer:
It takes the Navy jet 2.5 seconds to come to a stop after the hook grabs the stop wire, using the kinematic equation v = u + at.
Step-by-step explanation:
To calculate the amount of time the jet needs to come to a stop, we can use one of the kinematic equations of motion that relates velocity, acceleration, and time. In this case, the formula is v = u + at, where:
- v is the final velocity (0 m/s because the jet comes to a stop),
- u is the initial velocity (67 m/s),
- a is the acceleration (-26.8 m/s²).
Rearrange this equation to solve for time (t), we get:
t = (v - u) / a
Plugging in the given values:
t = (0 m/s - 67 m/s) / -26.8 m/s² = 2.5 s
Therefore, it takes the jet 2.5 seconds to come to a stop after the hook grabs the stop wire.