diff --git a/azalea-client/src/movement.rs b/azalea-client/src/movement.rs
index 7eb7b958..351d91be 100644
--- a/azalea-client/src/movement.rs
+++ b/azalea-client/src/movement.rs
@@ -405,6 +405,7 @@ pub fn walk_listener(
         if let Ok((mut physics_state, mut sprinting, mut attributes)) = query.get_mut(event.entity)
         {
             physics_state.move_direction = event.direction;
+            physics_state.trying_to_sprint = false;
             set_sprinting(false, &mut sprinting, &mut attributes);
         }
     }
diff --git a/azalea-core/src/lib.rs b/azalea-core/src/lib.rs
index 8ed62b06..6554d71d 100755
--- a/azalea-core/src/lib.rs
+++ b/azalea-core/src/lib.rs
@@ -1,6 +1,7 @@
 #![doc = include_str!("../README.md")]
 #![feature(int_roundings)]
 #![feature(const_for)]
+#![feature(lazy_cell)]
 #![allow(incomplete_features)]
 #![feature(generic_const_exprs)]
 
diff --git a/azalea-core/src/math.rs b/azalea-core/src/math.rs
index 2e5e78f6..40d147e4 100644
--- a/azalea-core/src/math.rs
+++ b/azalea-core/src/math.rs
@@ -1,3 +1,27 @@
+use std::sync::LazyLock;
+
+pub static SIN: LazyLock<[f32; 65536]> = LazyLock::new(|| {
+    let mut sin = [0.0; 65536];
+    for i in 0..65536 {
+        sin[i] = f64::sin((i as f64) * 3.141592653589793 * 2.0 / 65536.0) as f32;
+    }
+    sin
+});
+
+/// A sine function that uses a lookup table.
+pub fn sin(var0: f32) -> f32 {
+    let var0 = var0 * 10430.378;
+    let var0 = var0 as usize;
+    SIN[var0 & 65535]
+}
+
+/// A cosine function that uses a lookup table.
+pub fn cos(var0: f32) -> f32 {
+    let var0 = var0 * 10430.378 + 16384.0;
+    let var0 = var0 as usize;
+    SIN[var0 & 65535]
+}
+
 // TODO: make this generic
 pub fn binary_search(mut min: i32, max: i32, predicate: &dyn Fn(i32) -> bool) -> i32 {
     let mut diff = max - min;
diff --git a/azalea-entity/src/lib.rs b/azalea-entity/src/lib.rs
index fc312f79..e13ec2f0 100644
--- a/azalea-entity/src/lib.rs
+++ b/azalea-entity/src/lib.rs
@@ -12,7 +12,7 @@ mod plugin;
 use self::attributes::AttributeInstance;
 pub use attributes::Attributes;
 use azalea_block::BlockState;
-use azalea_core::{BlockPos, ChunkPos, ResourceLocation, Vec3, AABB};
+use azalea_core::{math, BlockPos, ChunkPos, ResourceLocation, Vec3, AABB};
 use azalea_world::{ChunkStorage, InstanceName};
 use bevy_ecs::{bundle::Bundle, component::Component};
 pub use data::*;
@@ -44,8 +44,8 @@ pub fn input_vector(direction: &LookDirection, speed: f32, acceleration: &Vec3)
         *acceleration
     }
     .scale(speed as f64);
-    let y_rot = f32::sin(direction.y_rot * 0.017453292f32);
-    let x_rot = f32::cos(direction.y_rot * 0.017453292f32);
+    let y_rot = math::sin(direction.y_rot * 0.017453292f32);
+    let x_rot = math::cos(direction.y_rot * 0.017453292f32);
     Vec3 {
         x: acceleration.x * (x_rot as f64) - acceleration.z * (y_rot as f64),
         y: acceleration.y,
@@ -56,10 +56,10 @@ pub fn input_vector(direction: &LookDirection, speed: f32, acceleration: &Vec3)
 pub fn view_vector(look_direction: &LookDirection) -> Vec3 {
     let x_rot = look_direction.x_rot * 0.017453292;
     let y_rot = -look_direction.y_rot * 0.017453292;
-    let y_rot_cos = f32::cos(y_rot);
-    let y_rot_sin = f32::sin(y_rot);
-    let x_rot_cos = f32::cos(x_rot);
-    let x_rot_sin = f32::sin(x_rot);
+    let y_rot_cos = math::cos(y_rot);
+    let y_rot_sin = math::sin(y_rot);
+    let x_rot_cos = math::cos(x_rot);
+    let x_rot_sin = math::sin(x_rot);
     Vec3 {
         x: (y_rot_sin * x_rot_cos) as f64,
         y: (-x_rot_sin) as f64,
diff --git a/azalea-physics/src/lib.rs b/azalea-physics/src/lib.rs
index 673c425e..cad1c15f 100644
--- a/azalea-physics/src/lib.rs
+++ b/azalea-physics/src/lib.rs
@@ -5,7 +5,7 @@ pub mod clip;
 pub mod collision;
 
 use azalea_block::{Block, BlockState};
-use azalea_core::{BlockPos, Vec3};
+use azalea_core::{math, BlockPos, Vec3};
 use azalea_entity::{
     metadata::Sprinting, move_relative, Attributes, Jumping, Local, LookDirection, Physics,
     Position,
@@ -30,8 +30,7 @@ pub struct PhysicsSet;
 pub struct PhysicsPlugin;
 impl Plugin for PhysicsPlugin {
     fn build(&self, app: &mut App) {
-        app.add_event::<ForceJumpEvent>()
-            .add_systems(FixedUpdate, (ai_step, travel).chain().in_set(PhysicsSet));
+        app.add_systems(FixedUpdate, (ai_step, travel).chain().in_set(PhysicsSet));
     }
 }
 
@@ -43,6 +42,7 @@ fn travel(
             &mut Physics,
             &mut LookDirection,
             &mut Position,
+            Option<&Sprinting>,
             &Attributes,
             &InstanceName,
         ),
@@ -50,7 +50,7 @@ fn travel(
     >,
     instance_container: Res<InstanceContainer>,
 ) {
-    for (mut physics, direction, mut position, attributes, world_name) in &mut query {
+    for (mut physics, direction, mut position, sprinting, attributes, world_name) in &mut query {
         let world_lock = instance_container
             .get(world_name)
             .expect("All entities should be in a valid world");
@@ -92,6 +92,7 @@ fn travel(
             &direction,
             &mut position,
             attributes,
+            sprinting.map(|s| **s).unwrap_or(false),
         );
 
         movement.y -= gravity;
@@ -108,7 +109,7 @@ fn travel(
         } else {
             physics.delta = Vec3 {
                 x: movement.x * inertia as f64,
-                y: movement.y * 0.98f64,
+                y: movement.y * 0.9800000190734863f64,
                 z: movement.z * inertia as f64,
             };
         }
@@ -120,7 +121,6 @@ fn travel(
 pub fn ai_step(
     mut query: Query<
         (
-            Entity,
             &mut Physics,
             Option<&Jumping>,
             &Position,
@@ -142,9 +142,7 @@ pub fn ai_step(
     // )>,
     instance_container: Res<InstanceContainer>,
 ) {
-    for (entity, mut physics, jumping, position, look_direction, sprinting, instance_name) in
-        &mut query
-    {
+    for (mut physics, jumping, position, look_direction, sprinting, instance_name) in &mut query {
         // vanilla does movement interpolation here, doesn't really matter much for a
         // bot though
 
@@ -183,10 +181,6 @@ pub fn ai_step(
     }
 }
 
-/// Jump even if we aren't on the ground.
-#[derive(Event)]
-pub struct ForceJumpEvent(pub Entity);
-
 pub fn jump_from_ground(
     physics: &mut Physics,
     position: &Position,
@@ -211,9 +205,9 @@ pub fn jump_from_ground(
         // sprint jumping gives some extra velocity
         let y_rot = look_direction.y_rot * 0.017453292;
         physics.delta += Vec3 {
-            x: (-f32::sin(y_rot) * 0.2) as f64,
+            x: (-math::sin(y_rot) * 0.2) as f64,
             y: 0.,
-            z: (f32::cos(y_rot) * 0.2) as f64,
+            z: (math::cos(y_rot) * 0.2) as f64,
         };
     }
 
@@ -236,11 +230,12 @@ fn handle_relative_friction_and_calculate_movement(
     direction: &LookDirection,
     position: &mut Position,
     attributes: &Attributes,
+    is_sprinting: bool,
 ) -> Vec3 {
     move_relative(
         physics,
         direction,
-        get_friction_influenced_speed(physics, attributes, block_friction),
+        get_friction_influenced_speed(physics, attributes, block_friction, is_sprinting),
         &Vec3 {
             x: physics.xxa as f64,
             y: physics.yya as f64,
@@ -270,14 +265,23 @@ fn handle_relative_friction_and_calculate_movement(
 // private float getFrictionInfluencedSpeed(float friction) {
 //     return this.onGround ? this.getSpeed() * (0.21600002F / (friction *
 // friction * friction)) : this.flyingSpeed; }
-fn get_friction_influenced_speed(physics: &Physics, attributes: &Attributes, friction: f32) -> f32 {
+fn get_friction_influenced_speed(
+    physics: &Physics,
+    attributes: &Attributes,
+    friction: f32,
+    is_sprinting: bool,
+) -> f32 {
     // TODO: have speed & flying_speed fields in entity
     if physics.on_ground {
         let speed: f32 = attributes.speed.calculate() as f32;
         speed * (0.216f32 / (friction * friction * friction))
     } else {
         // entity.flying_speed
-        0.02
+        if is_sprinting {
+            0.025999999f32
+        } else {
+            0.02
+        }
     }
 }
 
diff --git a/azalea/examples/testbot.rs b/azalea/examples/testbot.rs
index 14800e9c..630ddf00 100644
--- a/azalea/examples/testbot.rs
+++ b/azalea/examples/testbot.rs
@@ -11,6 +11,7 @@ use azalea::pathfinder::goals::BlockPosGoal;
 use azalea::protocol::packets::game::ClientboundGamePacket;
 use azalea::{prelude::*, swarm::prelude::*, BlockPos, GameProfileComponent, WalkDirection};
 use azalea::{Account, Client, Event};
+use azalea_client::SprintDirection;
 use azalea_core::Vec3;
 use azalea_world::{InstanceName, MinecraftEntityId};
 use std::time::Duration;
@@ -145,6 +146,9 @@ async fn handle(mut bot: Client, event: Event, _state: State) -> anyhow::Result<
                 "walk" => {
                     bot.walk(WalkDirection::Forward);
                 }
+                "sprint" => {
+                    bot.sprint(SprintDirection::Forward);
+                }
                 "stop" => {
                     bot.set_jumping(false);
                     bot.walk(WalkDirection::None);