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Physics · Grades 10–12

Projectile components and model limits

Treat horizontal and vertical motion together without inventing horizontal gravity.

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Learn the idea

Components

Split velocity into horizontal and vertical components in a chosen coordinate system.

Ideal horizontal motion

With no air resistance, horizontal acceleration is zero while vertical acceleration is downward g.

Shared time

Both components describe the same flight time. Do not calculate unrelated times and combine them.

Highest point

Vertical velocity is zero at a highest point, but acceleration remains downward. Horizontal velocity may be nonzero.

Worked examples

A projectile has horizontal velocity 7 m/s for 3 s with no horizontal acceleration. Find horizontal displacement.

x = vxt = 7 × 3 = 21 m.

21 m

An object falls from rest for 2 s with g = 10 m/s² and no air resistance. Find downward distance.

d = 0.5gt² = 0.5 × 10 × 4 = 20 m.

20 m

Check your understanding

  1. At the highest point of an ideal angled projectile, which is zero?

    1. Gravitational acceleration
    2. Horizontal velocity necessarily
    3. Vertical velocity

  2. In an ideal no-air model, what is horizontal acceleration?

    1. Zero
    2. Always equal to horizontal speed
    3. Always g

  3. Why must horizontal and vertical calculations use the same time interval?

Answers and marking notes

Answers and marking notes
  1. Vertical velocity

    Vertical motion turns around while gravity continues acting.

  2. Zero

    No horizontal resultant force acts in this simplified model.

  3. They are components of one object's motion over the same flight.

    Credit simultaneous component motion.

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Independent educational review required. Grade bands are approximate; these are not officially aligned curricula.