GATE CE 2018 Set 1 — Question 65
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Transportation Engineering → Airport Engineering → Taxiway Design
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Question
An aircraft approaches the threshold of a runway strip at a speed of 200 km/h. The pilot decelerates the aircraft at a rate of 1.697 m/s and takes 18 s to exit the runway strip. If the deceleration after exiting the runway is 1 m/s, then the distance (in m, up to one decimal place) of the gate position from the location of exit on the runway is ______
Correct answer
311 to 319
Solution
Step 1: Convert the initial speed from km/h to m/s.
Initial speed, .Step 2: Calculate the speed of the aircraft at the moment it exits the runway strip.
Using the first equation of motion:
Here, (deceleration) and .
.Step 3: Calculate the distance from the exit to the gate position.
At the gate position, the aircraft comes to a complete stop, so final velocity .
The deceleration after exiting is .
Using the third equation of motion:
.Rounding to one decimal place, the distance is 312.8 m. The official range is 311.0 to 319.0.
Initial speed, .Step 2: Calculate the speed of the aircraft at the moment it exits the runway strip.
Using the first equation of motion:
Here, (deceleration) and .
.Step 3: Calculate the distance from the exit to the gate position.
At the gate position, the aircraft comes to a complete stop, so final velocity .
The deceleration after exiting is .
Using the third equation of motion:
.Rounding to one decimal place, the distance is 312.8 m. The official range is 311.0 to 319.0.
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