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A jet plane lands with a speed of 102 m/s and can accelerate at a maximum rate of −5.80 m/s2 as it comes to rest.(a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? s

A jet plane lands with a speed of 102 ms and can accelerate at a maximum rate of 580 ms2 as it comes to resta From the instant the plane touches the runway what class=

Respuesta :

This is an uniformly accelerated motion, then we can use the equation:

[tex]a=\frac{v_f-v_0}{t}[/tex]

In this case the final velocity is 0, the initial velocity is 102 m/s and the acceleration is -5.8 m/s²; plugging these values and solving for t we have:

[tex]\begin{gathered} -5.8=\frac{0-102}{t} \\ t=\frac{-102}{-5.8} \\ t=17.59 \end{gathered}[/tex]

Therefore, the time it takes to stop is 17.59 s

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