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Nano PHYSICS . MECHANICS . KINEMATICS . PROJECTILE MOTION

Range

Learn how a projectile’s horizontal distance comes from combining horizontal speed with time of flight — and why angle matters so much.

Physics · Mechanics · Kinematics · Projectile Motion · Range
Access for this nano-lesson
Unsigned visitors can show & copy prompts for Steps 1–3. Signed-in free accounts can also Run with AI for Steps 1–2. Paid accounts unlock everything (Steps 1–6 + Help prompts + AI).
Steps 1–3 Free Steps 4–6 Paid
STEP 1
Orient / Definition: what is range?
Free
Build a precise understanding of what projectile range means and why it is a horizontal-distance concept.
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Goal: understand range as the total horizontal distance traveled from launch to landing.
STEP 2
Conceptual grounding: range comes from horizontal speed times time
Free
Build intuition for why range depends on both how fast the projectile moves horizontally and how long it stays in the air.
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Goal: understand the R = v_x · t idea before worrying about memorized formulas.
STEP 3
Real-world connection: why angle changes range
Free
Connect range to launch angle, same-speed launches, and why some angles produce longer or shorter horizontal travel.
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Goal: build intuition for angle dependence and avoid treating range as a purely algebraic formula.
STEP 4
Check your understanding: mini-quiz (answers hidden until you reveal)
Paid
Try each question first. Answers + feedback appear only when you click Reveal answer. This prevents accidental spoilers and builds real exam readiness.
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Goal: attempt first → then reveal and learn from your mistakes.
STEP 5
Practice: solve range problems step-by-step
Paid
Work through carefully chosen range problems involving same-height launches, angle changes, and different ways of combining horizontal motion with time of flight.
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Goal: reliably identify the needed horizontal speed and total flight time, then combine them correctly.
STEP 6
Summary & reflection + Exploration / “simulation” prompts
Paid
Consolidate the key ideas, then explore how launch speed, launch angle, height, and gravity affect horizontal distance traveled.
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🔒 ▶ Explore interactive simulation
Goal: summarize + deepen your intuition about what increases or decreases range and why.