A jet comes in for a landing on solid ground

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Alexanddros81
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Homework Statement


A jet comes in for a landing on solid ground with a speed of 100m/s, and its
acceleration can have a maximum magnitude of ##5.00m/s^2 ## as it comes to rest.

(a) From the instant the jet touches the runway, what is the minimum time
interval needed before it can come to rest?
(b) Can this jet land at a small tropical island airport where the runway is 0.800Km long?
(c) Explain your answer.

Homework Equations

The Attempt at a Solution



Handwritten solution: v_xi = 100 m/s, v_xf = 0 m/s, a_x = -5.00 m/s^2. Part a: t = (v_xf - v_xi)/a_x = -100 m/s / -5.00 m/s^2 = 20 s. Using x_f = x_i + v_xi t + (1/2)a_x t^2 gives x_f = 1000 m or 1 km. It cannot land at the small tropical island airport.

[/B]
Is this correct?

 
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  • Handwritten solution: v_xi = 100 m/s, v_xf = 0 m/s, a_x = -5.00 m/s^2. Part a: t = (v_xf - v_xi)/a_x = -100 m/s / -5.00 m/s^2 = 20 s. Using x_f = x_i + v_xi t + (1/2)a_x t^2 gives x_f = 1000 m or 1 km. It cannot land at the small tropical island airport.
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Yes. You could also use ##v^2 = 2as##.

Although, I guess you still have to explain what the ##1km## you got represents.