College Physics II – Mechanics, Sound, Oscillations, and Waves

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Range

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College Physics II – Mechanics, Sound, Oscillations, and Waves

Definition

Range is the horizontal distance a projectile travels before landing. It depends on the initial velocity, launch angle, and acceleration due to gravity.

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5 Must Know Facts For Your Next Test

  1. The range of a projectile is maximized at a launch angle of 45 degrees in the absence of air resistance.
  2. The formula for range is $R = \frac{v_0^2 \sin(2\theta)}{g}$ where $v_0$ is the initial velocity, $\theta$ is the launch angle, and $g$ is the acceleration due to gravity.
  3. The range does not depend on the mass of the projectile.
  4. Air resistance can significantly reduce the range of a projectile.
  5. For complementary angles that add up to 90 degrees (e.g., 30 degrees and 60 degrees), projectiles will have the same range if launched with the same initial speed.

Review Questions

  • What launch angle maximizes the range of a projectile?
  • How does air resistance affect the range of a projectile?
  • Write down and explain the formula for calculating range in projectile motion.

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