Gravity & Projectile Motion

ACT Science guide to gravity and projectile motion: free fall, trajectory, and interpreting projectile experiments.

# Gravity & Projectile Motion — ACT Science

Gravity and projectile motion experiments are common ACT Science passage topics. You may need to read tables showing how launch angle, speed, or height affects a projectile's range or time in the air.

Key Concepts

Gravity

  • Near Earth's surface, all objects accelerate downward at about 9.8 m/s29.8\ \text{m/s}^2.
  • Without air resistance, mass doesn't affect falling speed.
  • Gravity acts on projectiles throughout their flight.

Free Fall

  • An object dropped from rest speeds up as it falls.
  • An object thrown upward slows down, stops momentarily, then speeds up downward.

Projectile Motion

  • A projectile has two independent components of motion:
    • Horizontal: constant speed (no acceleration, ignoring air resistance).
    • Vertical: accelerated by gravity.
  • The path is a parabola.
  • Launch angle of 45° gives maximum range (on flat ground, no air resistance).
  • Complementary angles (e.g., 30° and 60°) give the same range.

Key Trends to Recognize

  • Greater launch speed → greater range and height.
  • Greater launch angle (up to 45°) → greater range; beyond 45° → range decreases.
  • Greater height → longer time in the air.

Worked Example

Passage summary: A ball launcher fires at various angles with the same speed.

Angle (°) Range (m) Max Height (m)
15 25.0 3.4
30 43.3 12.5
45 50.0 25.0
60 43.3 37.5
75 25.0 46.6

Q: At what angle is the range maximized?

A: 45°. Also note that 30° and 60° give the same range, as do 15° and 75°.

Practice Questions

  1. 1. Two balls are launched at the same speed — one at 20° and one at 70°. Which goes farther?

    They travel the same horizontal distance (complementary angles).

    2. A ball is thrown straight up. At the very top of its path, what is its velocity? What is its acceleration?

    Velocity = 0. Acceleration = 9.8 m/s² downward (gravity never stops).

    3. If you double the launch speed (same angle), what happens to the range?

    The range quadruples (range is proportional to speed squared).

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Summary

  • Gravity accelerates all objects equally (9.8 m/s29.8\ \text{m/s}^2 down).
  • Projectile motion: horizontal (constant speed) + vertical (accelerated by gravity).
  • 45° launch angle maximizes range; complementary angles give equal range.
  • On the ACT, look for trends in launch angle, speed, and resulting range/height.

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