diff --git a/src/game/components/UserProjectile.h b/src/game/components/UserProjectile.h
index 03a7e24..fda3ff3 100644
--- a/src/game/components/UserProjectile.h
+++ b/src/game/components/UserProjectile.h
@@ -1,8 +1,6 @@
 #ifndef GL_ADAGIO_USERPROJECTILE_H
 #define GL_ADAGIO_USERPROJECTILE_H
 
-struct UserProjectile {
-  float speed;
-};
+struct UserProjectile {};
 
 #endif // GL_ADAGIO_USERPROJECTILE_H
diff --git a/src/game/components/Velocity.h b/src/game/components/Velocity.h
new file mode 100644
index 0000000..d3120bc
--- /dev/null
+++ b/src/game/components/Velocity.h
@@ -0,0 +1,9 @@
+#ifndef GL_ADAGIO_VELOCITY_H
+#define GL_ADAGIO_VELOCITY_H
+
+struct Velocity {
+  double direction;
+  double speed;
+};
+
+#endif // GL_ADAGIO_VELOCITY_H
diff --git a/src/game/states/GracilisGame.cpp b/src/game/states/GracilisGame.cpp
index b5ce388..864930e 100644
--- a/src/game/states/GracilisGame.cpp
+++ b/src/game/states/GracilisGame.cpp
@@ -5,6 +5,7 @@
 #include "../components/SpriteAnimation.h"
 #include "../components/SpriteClip.h"
 #include "../systems/AnimateSprite.h"
+#include "../systems/ApplyVelocity.h"
 #include "../systems/RemoveDead.h"
 #include "../systems/RenderSprite.h"
 #include "../systems/Wallop.h"
@@ -15,6 +16,7 @@ void GracilisGame::init() {
   std::cout << "GracilisGame init" << std::endl;
   registerSystem(AnimateSprite);
   registerRenderer(RenderSprite);
+  registerSystem(ApplyVelocity);
   registerSystem(ShipSystem);
   registerSystem(WallopSystem);
   registerSystem(RemoveDead);
diff --git a/src/game/systems/ApplyVelocity.cpp b/src/game/systems/ApplyVelocity.cpp
new file mode 100644
index 0000000..b041fed
--- /dev/null
+++ b/src/game/systems/ApplyVelocity.cpp
@@ -0,0 +1,15 @@
+#include "ApplyVelocity.h"
+#include "../components/Position.h"
+#include "../components/Velocity.h"
+#include <cmath>
+
+void ApplyVelocity(entt::registry &registry, Adagio::GameStats &stats,
+                   Adagio::StateMachine *state) {
+  auto view = registry.view<Position, Velocity>();
+  for (auto [entity, pos, velocity] : view.each()) {
+    const double delta =
+        stats.getFrameDelta() * 60; // Speed is in "1 pixel per 1/60 of a frame"
+    pos.position.x += delta * velocity.speed * std::cos(velocity.direction);
+    pos.position.y += delta * velocity.speed * std::sin(velocity.direction);
+  }
+}
\ No newline at end of file
diff --git a/src/game/systems/ApplyVelocity.h b/src/game/systems/ApplyVelocity.h
new file mode 100644
index 0000000..8962805
--- /dev/null
+++ b/src/game/systems/ApplyVelocity.h
@@ -0,0 +1,11 @@
+#ifndef GL_ADAGIO_APPLYVELOCITY_H
+#define GL_ADAGIO_APPLYVELOCITY_H
+
+#include "../../state/GameStats.h"
+#include "../../state/StateMachine.h"
+#include "entt/entt.hpp"
+
+void ApplyVelocity(entt::registry &registry, Adagio::GameStats &stats,
+                   Adagio::StateMachine *state);
+
+#endif // GL_ADAGIO_APPLYVELOCITY_H
diff --git a/src/game/systems/Wallop.cpp b/src/game/systems/Wallop.cpp
index e0201fe..793f232 100644
--- a/src/game/systems/Wallop.cpp
+++ b/src/game/systems/Wallop.cpp
@@ -6,8 +6,7 @@
 void WallopSystem(entt::registry &registry, Adagio::GameStats &stats,
                   Adagio::StateMachine *state) {
   auto view = registry.view<UserProjectile, Position>();
-  for (auto [entity, projectile, pos] : view.each()) {
-    pos.position.y -= projectile.speed;
+  for (auto [entity, pos] : view.each()) {
     if (pos.position.x < -64 || pos.position.x > 640) {
       registry.emplace<Dead>(entity);
     }
diff --git a/src/game/systems/ship.cpp b/src/game/systems/ship.cpp
index 51ce7df..572876a 100644
--- a/src/game/systems/ship.cpp
+++ b/src/game/systems/ship.cpp
@@ -7,6 +7,7 @@
 #include "../components/SpriteClip.h"
 #include "../components/SpriteScale.h"
 #include "../components/UserProjectile.h"
+#include "../components/Velocity.h"
 #include <iostream>
 
 float lowerVelocity(float v);
@@ -36,7 +37,8 @@ void ShipSystem(entt::registry &registry, Adagio::GameStats &stats,
     }
     if (IsKeyPressed(KEY_SPACE)) {
       const auto wallop = registry.create();
-      registry.emplace<UserProjectile>(wallop, 6);
+      registry.emplace<UserProjectile>(wallop);
+      registry.emplace<Velocity>(wallop, -M_PI_2, 6);
       registry.emplace<Position>(
           wallop, Adagio::Vector2{pos.position.x + 27 - 16, pos.position.y});
       registry.emplace<Sprite>(wallop, ship.wallopTexture,
diff --git a/test/game/systems/ApplyVelocity.test.cpp b/test/game/systems/ApplyVelocity.test.cpp
new file mode 100644
index 0000000..4f7c8e7
--- /dev/null
+++ b/test/game/systems/ApplyVelocity.test.cpp
@@ -0,0 +1,83 @@
+#include "../../../src/game/systems/ApplyVelocity.h"
+#include "../../../src/game/components/Position.h"
+#include "../../../src/game/components/Velocity.h"
+#include "../EcsTestingHarness.h"
+#include <catch2/catch.hpp>
+#include <cmath>
+
+static EcsTestingHarness harness;
+static Position &setUpComponents(double direction, double speed);
+static bool doubleEquals(double a, double b);
+
+TEST_CASE("ApplyVelocity: No components defined", "[system][ApplyVelocity]") {
+  harness.reset();
+  REQUIRE_NOTHROW(
+      ApplyVelocity(harness.registry, harness.stats, harness.stateMachine));
+}
+
+TEST_CASE("ApplyVelocity: Does nothing with 0 speed",
+          "[system][ApplyVelocity]") {
+  Position &pos = setUpComponents(0, 0);
+
+  harness.stats.advanceTime(1);
+  harness.testSystemFrame(ApplyVelocity);
+
+  REQUIRE(pos.position.x == 0);
+  REQUIRE(pos.position.y == 0);
+}
+
+TEST_CASE("ApplyVelocity moves in direction 0", "[system][ApplyVelocity]") {
+  Position &pos = setUpComponents(0, 1);
+
+  harness.stats.advanceTime(1.0 / 60);
+  harness.testSystemFrame(ApplyVelocity);
+
+  REQUIRE(pos.position.x == 1);
+  REQUIRE(pos.position.y == 0);
+}
+
+TEST_CASE("ApplyVelocity moves in direction PI/2", "[system][ApplyVelocity]") {
+  Position &pos = setUpComponents(M_PI_2, 1);
+
+  harness.stats.advanceTime(1.0 / 60);
+  harness.testSystemFrame(ApplyVelocity);
+
+  REQUIRE(doubleEquals(pos.position.x, 0));
+  REQUIRE(doubleEquals(pos.position.y, 1));
+}
+
+TEST_CASE("ApplyVelocity moves in direction PI/4", "[system][ApplyVelocity]") {
+  Position &pos = setUpComponents(M_PI_4, 1);
+
+  harness.stats.advanceTime(1.0 / 60);
+  harness.testSystemFrame(ApplyVelocity);
+
+  REQUIRE(doubleEquals(pos.position.x, 1.0 / std::sqrt(2)));
+  REQUIRE(doubleEquals(pos.position.y, 1.0 / std::sqrt(2)));
+}
+
+TEST_CASE("ApplyVelocity applies speed every 1/60th of a second",
+          "[system][ApplyVelocity]") {
+  Position &pos = setUpComponents(0, 1);
+
+  harness.stats.advanceTime(1);
+  harness.testSystemFrame(ApplyVelocity);
+
+  REQUIRE(doubleEquals(pos.position.x, 60));
+  REQUIRE(doubleEquals(pos.position.y, 0));
+}
+
+static Position &setUpComponents(double direction, double speed) {
+  harness.reset();
+  auto entity = harness.registry.create();
+  Position &pos =
+      harness.registry.emplace<Position>(entity, Adagio::Vector2d{0, 0});
+  harness.registry.emplace<Velocity>(entity, direction, speed);
+
+  return pos;
+}
+
+static bool doubleEquals(double a, double b) {
+  const double delta = 0.0005;
+  return std::abs(a - b) < delta;
+}