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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 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 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 D

What is the acceleration during landing?

Solution

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

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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.

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	Part E

{table:align=right}{tr}{td}!tomahawk_craigKinzer.jpg!{td}{tr}{tr}{td}(Photo by Craig Kinzer, courtesy Wikipedia.){td}{tr}{table} 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. h3. Part A Assuming constant acceleration, what is the Tomahawk's acceleration during the takeoff run? h3. Part B What is the time required for takeoff? h3. Part C How far does the plane travel in the first 1.0 seconds of the takeoff? h3. Part D What is the acceleration during landing? h3. Part E How far does the plane travel in the first 1.0 seconds of the landing? h3. Part F Suppose that the Tomahawk was landing in a tailwind of 5 knots, so that it actually approached the runway moving at 51 knots along the ground instead of 46 knots. How much distance would the plane require to stop?

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Key

Part A

Solution

Part B

Solution

Part C

Solution

Part D

Solution

Part E

Solution