Projectile Motion

Projectile motion is the motion of an object launched into the air and acted on only by gravity, producing a parabolic path. On AP Physics 1, you analyze it by splitting motion into a constant-velocity horizontal component and a free-fall vertical component connected by time.

Verified for the 2027 AP Physics 1 examLast updated June 2026

What is Projectile Motion?

Projectile motion is what happens when you launch an object and then let gravity take over. Once it leaves your hand (or the cannon, or the table edge), the only force acting on it is gravity, assuming you ignore air resistance, which AP Physics 1 almost always does. That single downward force produces the classic parabolic arc.

The big idea, the one the whole topic hinges on, is that the horizontal and vertical motions are independent of each other. Horizontally, there's no force, so the object moves at constant velocity. Vertically, the object is in free fall, accelerating downward at g (about 9.8 m/s²) the entire time, even at the very top of the arc where vertical velocity is momentarily zero. The two directions share exactly one variable, and that's time. Time in the air is the bridge that lets you solve for range, maximum height, or landing speed by working each direction separately with the kinematics equations.

Why Projectile Motion matters in AP Physics 1

Projectile motion lives in the kinematics unit of AP Physics 1, where you extend one-dimensional motion analysis into two dimensions. It's the first place the course forces you to think in components, breaking a velocity vector into horizontal and vertical pieces using the launch angle. That component-thinking skill never goes away. You'll reuse it for forces on inclines, momentum in two dimensions, and basically every vector problem for the rest of the course.

It also matters because projectile motion is where conceptual misconceptions get tested hard. The exam loves asking whether a dropped ball and a horizontally launched ball hit the ground at the same time (they do), or what the acceleration is at the peak of the trajectory (still g, straight down). If you can reason through those, you understand the model. If you're just memorizing formulas, the MCQs will find out.

How Projectile Motion connects across the course

Free Fall (Unit 1)

Projectile motion is free fall with a sideways head start. The vertical component of any projectile is literally a free-fall problem, which is why a bullet fired horizontally and a bullet dropped from the same height land at the same instant.

Kinematics Equations (Unit 1)

You don't need new equations for projectiles. You apply the same constant-acceleration kinematics equations twice, once horizontally with a = 0 and once vertically with a = -g, then link the two solutions through time.

Launch Angle and Range (Unit 1)

The launch angle splits initial speed into components (v·cosθ horizontal, v·sinθ vertical) and controls the trade-off between hang time and horizontal speed. With no air resistance and level ground, 45° gives maximum range, and complementary angles like 30° and 60° land at the same spot.

Forces and Newton's Second Law (Unit 2)

Projectile motion is your first real free-body diagram payoff. In flight there's exactly one force, gravity, so a = g downward no matter which way the object is moving. That 'acceleration points where the net force points, not where velocity points' insight is the heart of Unit 2.

Is Projectile Motion on the AP Physics 1 exam?

Projectile motion shows up in multiple-choice questions that test the independence of components: comparing fall times for dropped versus horizontally launched objects, identifying the acceleration at the peak of the path (it's g, downward, never zero), or reading velocity components off a trajectory diagram. Calculation stems typically give you a launch speed and angle (or a horizontal launch from a known height) and ask for range, time of flight, or final speed.

On the free-response side, projectile setups are a natural fit for experimental design and graphical analysis questions. You might be asked to design a procedure to measure launch speed using a ball rolling off a table, or to argue qualitatively why changing mass doesn't change the trajectory. The move that earns points is always the same. Set up a coordinate system, separate the motion into x and y, state that horizontal velocity is constant and vertical acceleration is g, and use time to connect them.

Projectile Motion vs Free Fall

Free fall is one-dimensional motion under gravity alone, straight up or straight down. Projectile motion is two-dimensional motion under gravity alone, with a horizontal velocity component thrown in. The vertical part of every projectile problem IS a free-fall problem, so the math overlaps, but a projectile also has a constant-velocity horizontal story happening at the same time.

Key things to remember about Projectile Motion

  • A projectile is an object in flight acted on only by gravity, so its acceleration is always g (about 9.8 m/s²) pointing straight down, including at the top of the arc.

  • Horizontal and vertical motions are independent. Horizontal velocity stays constant while vertical velocity changes by g every second.

  • Time of flight is the only quantity shared between the horizontal and vertical equations, so most projectile problems are solved by finding time in one direction and using it in the other.

  • An object launched horizontally and an object dropped from the same height hit the ground at the same time, because their vertical motions are identical.

  • Mass does not affect the trajectory when air resistance is ignored; a heavy ball and a light ball launched the same way follow the same path.

  • Break the initial velocity into components with the launch angle (v·cosθ horizontal, v·sinθ vertical) before touching any kinematics equation.

Frequently asked questions about Projectile Motion

What is projectile motion in AP Physics 1?

It's the motion of an object launched into the air with gravity as the only force acting on it, producing a parabolic path. You analyze it by treating the horizontal direction as constant velocity and the vertical direction as free fall with acceleration g.

Is the acceleration zero at the top of a projectile's path?

No. At the peak, the vertical velocity is zero for an instant, but the acceleration is still 9.8 m/s² downward because gravity never stops acting. Confusing zero velocity with zero acceleration is one of the most common MCQ traps in the course.

How is projectile motion different from free fall?

Free fall is purely vertical motion under gravity, while projectile motion adds a constant horizontal velocity on top of that same vertical free fall. That's why a horizontally launched object and a dropped object from the same height land at the exact same time.

Does a heavier projectile fall faster or travel a shorter distance?

No, mass doesn't matter when air resistance is ignored. All projectiles accelerate downward at the same rate, g, so objects launched with the same initial velocity follow identical trajectories regardless of mass.

What launch angle gives the maximum range?

45°, assuming level ground and no air resistance. It's the perfect compromise between hang time (which favors steeper angles) and horizontal speed (which favors flatter angles), and complementary angles like 30° and 60° produce equal ranges.