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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

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

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Part B

What is the time required for takeoff?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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Approach:

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Part B
Part B

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Part C

How far does the plane travel in the first 19.0 seconds of the takeoff?

Solution

System, Interactions and Model: As in the previous parts.

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Part C

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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

How far does the plane travel in the first 19.0 seconds of the landing?

Part F

...

Solution

System, Interactions and Model: As in previous parts.

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Approach:

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Part E
Part E

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