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The Arc of a Bolo: 2D Motion in the War Reenactment

Festival context —Performers running formations, timed stage entrances, and prop throws during the Cry of Jelicuon reenactment

S9FE-IIc-18Grade 9 · Quarter 2Analyze Motion in Two Dimensions

When a Prop Takes Flight: Horizontal and Vertical Motion Together

One of the most dramatic moments in the Cry of Jelicuon reenactment involves performers throwing prop weapons (bolos, rifles) in choreographed arcs. What the audience sees as a single graceful curve is actually two completely separate motions happening at the same time: a horizontal (sideways) motion and a vertical (up-and-down) motion. The trick of physics is that we can study each motion on its own and then combine them to predict the whole path.

In two-dimensional projectile motion, the horizontal part of the motion moves at constant velocity (assuming no air resistance) — it never speeds up or slows down sideways. Meanwhile, the vertical part accelerates downward at g = 9.8 m/s² because gravity is always pulling it toward the ground. These two parts are independent: changing one does not affect the other. That is why a prop can keep drifting sideways at a steady rate even while it falls faster and faster.

Comprehension Check

During a prop throw, the horizontal velocity remains throughout the flight (ignoring air resistance).

Performers jumping from risers also demonstrate this principle. The jump's launch angle decides how the effort is split between horizontal distance (called the range) and maximum height. A steep, high angle sends the performer mostly upward but not very far forward; a shallow, flat angle sends them forward but they drop to the floor quickly. A 45° angle strikes the perfect balance and gives the maximum range on level ground — useful for choreographing dramatic leaps across the stage.

Riser Jumps and Independent Motion Components

When a performer leaps from the top of an elevated riser during the Cry of Jelicuon, their body simultaneously undergoes two independent motions: horizontal displacement driven by their launch momentum, and vertical free-fall driven by gravity. At the peak of the jump, vertical velocity reaches zero for a brief instant — but horizontal velocity remains unchanged. This separation of components is why performers can cover significant horizontal distance while still clearing the stage floor safely. The choreographer exploits this physics deliberately: timing the jump so horizontal travel lands the performer at a precise formation mark.

Worked Example: Projectile Range

During the Cry of Jelicuon fight scene, a performer hurls a prop bolo from center stage, releasing it at 8 m/s at a 45° angle above the ground. Ignoring air resistance, how far across the stage will the bolo travel before it lands?

Given
v₀=8 m/sθ=45°g=9.8 m/s²
1Formularange = (v₀² × sin(2θ)) / g
2Substituterange = (64 × sin(90°)) / 9.8 = 64 / 9.8
3Answerrange ≈ 6.5 m

A prop thrown at 45° with initial speed 8 m/s travels about 6.5 m horizontally — enough to cross from one side of the stage to the center mark.

Try It Yourself

  1. 1

    A performer leaps off a riser and, at the very top of the jump, holds a dramatic freeze. What is the performer's vertical velocity at that highest point?

    At the peak of the arc

  2. 2

    A prop rifle is tossed with a horizontal speed of 6 m/s. Ignoring air resistance, what is its horizontal speed 1 second later, while it is still in the air?

    horizontal speed = 6 m/s, air resistance ignored

  3. 3

    A performer throws a prop bolo at 10 m/s at a 45° angle across the stage. Using range = (v₀² × sin(2θ)) / g, how far does it travel? (Use g = 9.8 m/s² and sin 90° = 1.)

    v₀ = 10 m/s, θ = 45°, g = 9.8 m/s²

Comprehension Check

The curved path followed by a thrown prop is called a trajectory.