diff --git a/index.js b/index.js
index d95ce7f..9aedce8 100644
--- a/index.js
+++ b/index.js
@@ -543,6 +543,9 @@ function Physics (mcData, world) {
       let acceleration = 0.0
       let inertia = 0.0
       const blockUnder = world.getBlock(pos.offset(0, -1, 0))
+      // Player.travel wraps the move while flying and puts back the vertical velocity the tick
+      // started with, damped, so it is read before anything below touches it.
+      const flightEntryVelY = vel.y
       if (entity.onGround && blockUnder) {
         let playerSpeedAttribute
         if (entity.attributes && entity.attributes[physics.movementSpeedAttribute]) {
@@ -569,6 +572,11 @@ function Physics (mcData, world) {
         inertia = (blockSlipperiness[blockUnder.type] || physics.defaultSlipperiness) * 0.91
         acceleration = attributeSpeed * (0.1627714 / (inertia * inertia * inertia))
         if (acceleration < 0) acceleration = 0 // acceleration should not be negative
+      } else if (entity.flying) {
+        // Player.getFlyingSpeed: creative flight accelerates at the abilities' flying speed,
+        // doubled while sprinting, in place of the 0.02 / 0.026 of a falling player.
+        acceleration = entity.control.sprint ? entity.flyingSpeed * 2 : entity.flyingSpeed
+        inertia = physics.airborneInertia
       } else {
         acceleration = physics.airborneAcceleration
         inertia = physics.airborneInertia
@@ -581,7 +589,7 @@ function Physics (mcData, world) {
 
       applyHeading(entity, strafe, forward, acceleration)
 
-      if (isOnLadder(world, pos)) {
+      if (!entity.flying && isOnLadder(world, pos)) {
         vel.x = math.clamp(-physics.ladderMaxSpeed, vel.x, physics.ladderMaxSpeed)
         vel.z = math.clamp(-physics.ladderMaxSpeed, vel.z, physics.ladderMaxSpeed)
         vel.y = Math.max(vel.y, entity.control.sneak ? 0 : -physics.ladderMaxSpeed)
@@ -589,18 +597,22 @@ function Physics (mcData, world) {
 
       moveEntity(entity, world, vel.x, vel.y, vel.z)
 
-      if (isOnLadder(world, pos) && (entity.isCollidedHorizontally ||
+      if (!entity.flying && isOnLadder(world, pos) && (entity.isCollidedHorizontally ||
         (supportFeature('climbUsingJump') && entity.control.jump))) {
         vel.y = physics.ladderClimbSpeed // climb ladder
       }
 
       // Apply friction and gravity
-      if (entity.levitation > 0) {
-        vel.y += (0.05 * entity.levitation - vel.y) * 0.2
+      if (entity.flying) {
+        vel.y = flightEntryVelY * 0.6
       } else {
-        vel.y -= physics.gravity * gravityMultiplier
+        if (entity.levitation > 0) {
+          vel.y += (0.05 * entity.levitation - vel.y) * 0.2
+        } else {
+          vel.y -= physics.gravity * gravityMultiplier
+        }
+        vel.y *= physics.airdrag
       }
-      vel.y *= physics.airdrag
       vel.x *= inertia
       vel.z *= inertia
     }
@@ -820,6 +832,9 @@ class PlayerState {
     this.fireworkRocketDuration = bot.fireworkRocketDuration
 
     // Input only (not modified)
+    // The server owns these: it grants flight in the abilities packet and the client obeys.
+    this.flying = bot.entity.flying ?? false
+    this.flyingSpeed = bot.entity.flyingSpeed ?? 0.05
     this.attributes = bot.entity.attributes
     this.yaw = bot.entity.yaw
     this.pitch = bot.entity.pitch
diff --git a/test/flying.test.js b/test/flying.test.js
new file mode 100644
index 0000000..1fdd73b
--- /dev/null
+++ b/test/flying.test.js
@@ -0,0 +1,90 @@
+/* eslint-env mocha */
+
+const { Physics, PlayerState } = require('prismarine-physics')
+const { Vec3 } = require('vec3')
+const expect = require('expect')
+
+const version = '1.13.2'
+const mcData = require('minecraft-data')(version)
+const Block = require('prismarine-block')(version)
+
+const fakeWorld = {
+  getBlock: (pos) => {
+    const type = (pos.y < 60) ? mcData.blocksByName.stone.id : mcData.blocksByName.air.id
+    const b = new Block(type, 0, 0)
+    b.position = pos
+    return b
+  }
+}
+
+function fakePlayer (pos, { flying = false, flyingSpeed = 0.05 } = {}) {
+  return {
+    entity: {
+      position: pos,
+      velocity: new Vec3(0, 0, 0),
+      onGround: false,
+      isInWater: false,
+      isInLava: false,
+      isInWeb: false,
+      isCollidedHorizontally: false,
+      isCollidedVertically: false,
+      elytraFlying: false,
+      flying,
+      flyingSpeed,
+      yaw: Math.PI * 3 / 2, // east (+x)
+      pitch: 0,
+      effects: {}
+    },
+    jumpTicks: 0,
+    jumpQueued: false,
+    fireworkRocketDuration: 0,
+    version,
+    inventory: { slots: [] }
+  }
+}
+
+const idle = () => ({ forward: false, back: false, left: false, right: false, jump: false, sprint: false, sneak: false })
+
+function run (player, controls, ticks) {
+  const physics = Physics(mcData, fakeWorld)
+  const state = new PlayerState(player, controls)
+  for (let i = 0; i < ticks; i++) physics.simulatePlayer(state, fakeWorld).apply(player)
+  return player.entity
+}
+
+describe('creative flight', () => {
+  it('holds its altitude instead of falling', () => {
+    const entity = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: true }), idle(), 40)
+    expect(entity.position.y).toEqual(80)
+    expect(entity.velocity.y).toEqual(0)
+  })
+
+  it('still falls when the server has not granted flight', () => {
+    const entity = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: false }), idle(), 40)
+    expect(entity.position.y).toBeLessThan(80)
+  })
+
+  it('damps the velocity it entered the tick with rather than adding gravity', () => {
+    const player = fakePlayer(new Vec3(0.5, 80, 0.5), { flying: true })
+    player.entity.velocity.y = 1
+    // Player.travel keeps y * 0.6 per tick, so the climb decays instead of turning into a fall.
+    const entity = run(player, idle(), 1)
+    expect(entity.velocity.y).toBeCloseTo(0.6, 10)
+    expect(entity.position.y).toBeCloseTo(81, 10)
+  })
+
+  it('accelerates at the abilities speed, not the 0.02 of a falling player', () => {
+    const controls = { ...idle(), forward: true }
+    const flying = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: true }), controls, 1)
+    const falling = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: false }), controls, 1)
+    expect(flying.velocity.x).toBeGreaterThan(falling.velocity.x)
+    // 0.05 against the airborne 0.02
+    expect(flying.velocity.x / falling.velocity.x).toBeCloseTo(2.5, 6)
+  })
+
+  it('doubles that speed while sprinting', () => {
+    const walk = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: true }), { ...idle(), forward: true }, 1)
+    const sprint = run(fakePlayer(new Vec3(0.5, 80, 0.5), { flying: true }), { ...idle(), forward: true, sprint: true }, 1)
+    expect(sprint.velocity.x / walk.velocity.x).toBeCloseTo(2, 6)
+  })
+})