**Question:**An aircraft has a lift-off speed of 12.1 km/h. If the aircraft's acceleration is constant, what minimum time is required for the aircraft to be airborne after a takeoff run of 23.8 m?**Explanation:**This problem involves calculating the minimum time required for an aircraft to become airborne given the distance of the takeoff run and the lift-off speed, assuming constant acceleration.To solve problems like this, physics principles such as kinematic equations are used, particularly those that relate motion with constant acceleration. Here are the steps and formulae involved:1. **Convert lift-off speed to m/s:** \( 12.1 \text{ km/h} = \frac{12.1 \times 1000}{3600} \text{ m/s} \)2. **Use the second kinematic equation:** \[ s = ut + \frac{1}{2}at^2 \] - Where \( s \) is the displacement (23.8 m), - \( u \) is the initial velocity (0 m/s, assuming the aircraft starts from rest), - \( a \) is the constant acceleration, - \( t \) is the time.3. **Rearrange for time \( t \):** - Since initial velocity \( u = 0 \), the equation simplifies to: \[ s = \frac{1}{2}at^2 \] - Find \( t \) by solving the quadratic equation.If given the acceleration \( a \), substitute to find \( t \).To determine the detailed solution and the exact value of \( t \), further calculations or the given acceleration value would be necessary. This step-by-step method demonstrates the application of kinematic equations to practical problems in aeronautics.

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Description: **Question:**An aircraft has a lift-off speed of 12.1 km/h. If the aircraft's acceleration is constant, what minimum time is required for the aircraft to be airborne after a takeoff run of 23.8 m?**Explanation:**This problem involves calculating the

The expression for the required time,

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An aircraft has a lift-off speed of 12.1 km/h. If the aircraft's acceleration is constant, what minimum time is required for the aircraft to be airborne after a takeoff run of 23.8 m?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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