Tailwind · Vol I, N° 01
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Task EShort-Field Takeoff and Maximum-Performance Climb

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PA.IV.E.PRI· Principles

Principles & why

Principles & why: V_X vs V_Y, the power curve, and obstacle-clearance reasoning

A short-field takeoff is about precision under constraint. Three principles drive the procedure: the V_X vs V_Y distinction (the heart of the climb-out decision), the power-curve geometry that makes V_X work, and the obstacle-clearance reasoning that justifies the maneuver in the first place.

V_X vs V_Y — the distinction that matters here

V_X = best angle of climb. The airspeed that yields the maximum altitude per unit of horizontal distance traveled over the ground. Used when you need to clear something close to the runway end.

V_Y = best rate of climb. The airspeed that yields the maximum altitude per unit of time. Used in every other takeoff — it's the most altitude per minute of climb, which is what you want when you're trying to get out of the pattern or up to cruise.

For a typical trainer, V_X might be 60 KIAS and V_Y 79 KIAS — a 19-knot gap. The pitch attitude for V_X is noticeably higher than for V_Y, and the climb rate is slower than V_Y (fewer feet per minute). But the angle is steeper, which is what obstacle clearance demands.

CLIMB PROFILES · PA.IV.A

V_X to clear → V_Y after

Short-field departure sequence

PLATE 28 · VX / VY

Runway50 ft obstacleGround distance from brake release (ft)Altitude (ft AGL)01,5003,0004,5006,0000200400600800Cleared → V_Y
Sequence (V_X to clear, then V_Y)Obstacle (50 ft)

V_X to clear → V_Y after

The canonical short-field departure: climb at V_X (steepest angle) until the obstacle is cleared, then transition to V_Y (best rate). V_X buys altitude per ground foot; V_Y buys altitude per minute. The transition happens once the obstacle is no longer the constraint.

V_X = best angle: maximum altitude per ground foot — used to clear obstacles. V_Y = best rate: maximum altitude per minute — the default for normal departures. The short-field procedure (IV.E) uses V_X until the obstacle is cleared, then transitions to V_Y. Holding V_X any longer is wasted altitude.

Default view: the canonical short-field departure — V_X until the obstacle is cleared, then transition to V_Y. The "Cleared → V_Y" annotation marks the transition point. Switch to "Compare" to see why V_X is steeper but slower; switch to "V_Y only" to see what holding V_X past the obstacle costs in time.

Both V-speeds decrease with altitude as thrust horsepower available falls faster than required. They also converge as altitude increases — at the airplane's service ceiling, V_X and V_Y are the same speed (and the only speed at which level flight is sustainable).

Why V_X works — the power-curve view

In level flight, the thrust horsepower required to maintain altitude is U-shaped against airspeed (minimum at L/D_max, rising in both directions). The thrust horsepower available from the engine is roughly flat (slowly decreasing) across the speed range.

The excess thrust horsepower — the difference between available and required — is what climbs the airplane.

  • Maximum excess thrust horsepower occurs at the airspeed where the gap is largest (typically near L/D_max). This is V_Y — maximum rate of climb (altitude per second).
  • Maximum excess thrust (not horsepower — just thrust) occurs at a different, slower airspeed. This is V_X — maximum angle of climb (altitude per foot of ground covered).

The physical reason for the difference: angle of climb depends on thrust relative to drag, not on thrust horsepower. At a slower speed, the thrust horsepower may be less (slower means smaller engine output × airspeed), but the available thrust (engine output / airspeed) is higher.

The implication: V_X buys obstacle clearance at the cost of climb rate. Use it only as long as you need it.

AERODYNAMICS · PA.IV.C / PA.IV.E / PA.VII.A

The power curve

Slide the marker below L/D max and watch drag go up as you slow down.

PLATE 41 · POWER CURVE

BACK SIDEV_SV_XV_YL/D MAX · MIN DRAG406080100120140AIRSPEED · KIASTOTAL DRAG · THRUST REQUIRED
80 KIAS

Region

Front side

Slowing down decreases drag. The airplane is speed-stable.

Total drag

1.00 × minimum

Relative to the drag at L/D max, which is the least drag the airplane can produce.

Induced share

50%

The rest is parasite drag. They are equal at L/D max — that is what puts the minimum there.

Toggle "Show parasite + induced" to see the two components that sum to the U. V_Y for most trainers sits at or just above L/D max (the curve minimum); V_X is on the back side. The diagram shows why V_X is slower but also why holding V_X any longer than needed is wasted altitude.

Obstacle-clearance reasoning

The POH publishes a short-field takeoff distance over a 50-ft obstacle at standard conditions. The "50-ft obstacle" is the FAA-standardized fence at the end of the runway. The distance has two parts:

  • Ground roll to liftoff (the distance from brake release to the wheels leaving the ground).
  • Air distance from liftoff to 50 ft AGL (climb distance at V_X).

To clear a real-world obstacle:

  • Identify the obstacle before takeoff — height, distance from runway end.
  • Confirm the published distance (corrected for current weight, pressure altitude, OAT, wind, runway slope) covers it with margin.
  • If the published distance + safety margin doesn't cover the obstacle, the takeoff isn't safe — find a longer runway or wait for better conditions.

The POH chart is the only honest way to make this decision. Eyeballing isn't reliable.

Why brakes-held power application

Two reasons:

  • Distance accounting. A normal-takeoff start applies power as the airplane is already rolling — some of the throttle-up time is wasted on partial power. A brakes-held start uses every foot of the roll at takeoff power. On a short runway, every foot matters.
  • Engine and instrument confirmation. With the airplane stationary, you can verify full RPM, oil pressure, fuel flow, and a stable engine before committing to the roll. An abort at the standing-still moment is trivial; an abort during the roll is messier.

This is the same logic the normal takeoff (A) uses for the indications check — applied with more rigor because the runway is shorter.

Why this maneuver matters

Short-field takeoffs are common at small fields, density-altitude-degraded fields (mountain airports on hot days), and any time obstacles constrain the departure. The V_X-then-V_Y transition is a discipline that recurs in every takeoff with obstacle considerations — even on a "normal" runway with a treeline on departure, the V_X-until-clear technique applies. Once mastered here, it's a tool, not an exam item.

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PA.IV.E.ERR · Common errors

Short-field takeoff errors come from two failure modes: discarding runway (starting too far down, or not applying full power before brake release) and misman…