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Composition Setup
Photo by Craig Kinzer, courtesy Wikipedia.
The Piper Tomahawk, widely used for flying lessons, has a liftoff speed of about 55 knots and a landing speed of about 46 knots. The listed ground-roll for takeoff is 820 feet, and for landing is 635 feet.
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In this example we will calculate acceleration, time, speed, and distance assuming constant acceleration.
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Part A
Part A
Assuming constant acceleration, what is the Tomahawk's acceleration during the takeoff run?
Solution
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System:
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In each of the parts, we will treat the Tomahawk as a point particle.
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Interactions:
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We are assuming that the thrust from the plane's engine, air resistance, rolling friction, and all other influences add up to give a constant acceleration.
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Model:
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One-Dimensional Motion with Constant Acceleration.
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Approach:
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Part A
Part A
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Part B
Part B
What is the elapsed time from the instant the plane begins its takeoff run until it lifts off the ground?
Solution
System, Interactions and Model: The system, interactions and model are the same as in Part A.
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Part B
Part B
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Part C
Part C
How far does the plane travel in the first 9.0 seconds of the takeoff?
Solution
System, Interactions and Model: As in the previous parts.
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Part C
Part C
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Part D
Part D
What is the acceleration during landing?
Solution
System, Interactions and Model: As in the previous parts.
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Part D
Part D
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Part E
Part E
How far does the plane travel in the first 9.0 seconds of the landing?
Solution
System, Interactions and Model: As in previous parts.