Welcome to our exploration of gravity and motion. Gravity is one of the four fundamental forces in nature. It causes objects with mass to attract each other. On Earth, we experience gravity as a force that pulls everything downward toward the planet's center with an acceleration of nine point eight meters per second squared.
When an object falls freely under gravity, its motion follows a specific mathematical equation. The height at any time t is given by h equals h naught plus v naught t minus one half g t squared. Here, h naught is the initial height, v naught is the initial velocity, g is the gravitational acceleration, and t is time. Let's observe how a ball falls from rest.
Welcome to our exploration of motion under gravity. Gravity is a fundamental force that affects all objects near Earth's surface, causing them to accelerate downward at approximately nine point eight meters per second squared. This acceleration is constant regardless of an object's mass.
Free fall motion occurs when gravity is the only force acting on an object. In free fall, all objects accelerate at the same rate regardless of their mass. The velocity equation is v equals v naught plus g t, and the position equation is y equals y naught plus v naught t plus one half g t squared.
Projectile motion occurs when an object is launched at an angle and moves under the influence of gravity. This motion combines horizontal movement at constant velocity with vertical movement under gravitational acceleration. The horizontal position follows x equals v naught cosine theta times t, while the vertical position follows y equals v naught sine theta times t minus one half g t squared.
It's important to distinguish between mass and weight. Mass is the amount of matter in an object, measured in kilograms. Weight is the force exerted on that mass due to gravity, measured in newtons. The relationship is given by W equals m g, where g is the gravitational acceleration of nine point eight meters per second squared on Earth.
To summarize what we've learned about motion under gravity: Gravity causes a constant downward acceleration of nine point eight meters per second squared. Free fall motion follows standard kinematic equations. Projectile motion combines horizontal motion at constant velocity with vertical motion under gravity. Weight is the force resulting from mass times gravitational acceleration. These fundamental principles govern all motion near Earth's surface.
It's important to distinguish between mass and weight. Mass is the amount of matter in an object, measured in kilograms. Weight is the force exerted on that mass due to gravity, measured in newtons. The relationship is given by W equals m g, where g is the gravitational acceleration of nine point eight meters per second squared on Earth.
To summarize what we've learned about motion under gravity: Gravity causes a constant downward acceleration of nine point eight meters per second squared. Free fall motion follows standard kinematic equations. Projectile motion combines horizontal motion at constant velocity with vertical motion under gravity. Weight is the force resulting from mass times gravitational acceleration. These fundamental principles govern all motion near Earth's surface.