A jet plane lands with a speed of 105m/s and can accelerate at a maximum rate of

Question

A jet plane lands with a speed of 105m/s and can accelerate at a maximum rate of -4.50 m/s2as it comes to rest. (a) From the instant the plane touches therunway, what is the minimum time needed before it can come torest?
1 s

(b) Can this plane land on a small tropical island airport wherethe runway is 0.800 km long? 2 yes
no

What is the actual minimum distance needed to stop the plane?
3 km (a) From the instant the plane touches therunway, what is the minimum time needed before it can come torest?
1 s

(b) Can this plane land on a small tropical island airport wherethe runway is 0.800 km long? 2 yes
no

What is the actual minimum distance needed to stop the plane?
3 km 2 yes
no
2 yes
no
2

Explanation / Answer

initial velocity v = 105 m/s, finalvelocity v' = 0, acceleration a = -4.50m/s2 a) time t = (v' - v)/a = 23.3 s displacement = (0 - v2)/(2a) = 1.225 km

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