Gravity

Definition

Gravity is the force that attracts objects with mass toward each other. It plays a crucial role in determining the trajectories of objects influenced by parametric equations.

5 Must Know Facts For Your Next Test

1. Gravity affects the vertical component of parametric equations for projectile motion.
2. The acceleration due to gravity is commonly denoted as $g$ and approximately equals $9.8 \text{ m/s}^2$ on Earth.
3. In parametric equations, gravity influences the $y(t)$ function while the $x(t)$ function remains unaffected by it.
4. The effects of gravity result in parabolic trajectories when plotting graphs of projectiles.
5. Gravity must be considered when solving problems involving real-life applications such as ballistics and sports physics.

Review Questions

• How does gravity affect the vertical component of a parametric equation involving projectile motion?
• What is the approximate value of acceleration due to gravity on Earth?
• Why do trajectories affected by gravity typically form parabolas in parametric plots?

Related terms

Parametric Equations: Equations that express coordinates as functions of a parameter, often used for describing motion and curves.

$y(t)$: $y(t)$ represents the vertical position as a function of time, which is influenced by gravity in projectile motion.

$x(t)$: $x(t)$ represents the horizontal position as a function of time, which remains constant if no horizontal forces act upon it.