Respuesta :
In this question we have given
length of runway=400m
speed of jet=641m/s
we have to find time to cover 400m distance
we know that
[tex]time=distance/Velocity\\therefore\\Time=400/641\\=.624S[/tex]
if jet fighter is landing on an aircraft carrier at speed of 641m/s then it will have .624S to slow down to a stop before it falls off the runway
The time taken by the aircraft to come to rest on the runway is [tex]\boxed{1.25\text{ s}}[/tex].
Explanation:
Given:
The initial speed of the aircraft on the runway is [tex]641\text{ m/s}[/tex].
The final speed of the aircraft on runway is [tex]0\text{ m/s}[/tex].
The distance covered by the aircraft on runway is [tex]400\text{ m}[/tex].
Concept:
The aircraft moves on the runway and comes to rest under the constant acceleration during its motion. In this case, the acceleration acts in the opposite direction of the motion of aircraft.
The average velocity of a body that has constant acceleration during the motion is defined as the mean of the initial and the final velocity of the body.
Write the expression for the average velocity of the aircraft.
[tex]\boxed{v_{avg}=\dfrac{v_{f}+v_{i}}{2}}[/tex]
Substitute the values of initial and final velocity of the aircraft in above expression.
[tex]\begin{aligned}v_{avg}&=\dfrac{0+641}{2}\\&=320.5\text{ m/s}\end{aligned}[/tex]
The time taken by the aircraft to come to rest can be calculated as the ratio of the distance covered to the average speed of the aircraft.
Write the expression for the time taken by aircraft.
[tex]\boxed{T=\dfrac{v_{avg}}{d}}[/tex]
Substitute the values of distance and the average velocity of the aircraft.
[tex]\begin{aligned}T&=\dfrac{400\text{ m}}{320.5\text{ m/s}}\\&=1.248\text{ s}\end{aligned}[/tex]
Thus, the time taken by the aircraft to come to rest on the runway is [tex]\boxed{1.25\text{ s}}[/tex].
Learn More:
1. The average speed of the car in the entire trip is https://brainly.com/question/504792
2. The effect of change in radius on the angular velocity https://brainly.com/question/5813257
3. The distance at which the tennis ball falls after being hit https://brainly.com/question/2843859
Answer Details:
Grade: High School
Subject: Physics
Chapter: Motion in one dimension
Keywords:
Aircraft carrier, runway, fighter jet, initial speed, landing, comes to rest, acceleration, average velocity, constant, distance, time.
