I want to learn motion under gravity concept can u crate a a video
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Welcome to our exploration of motion under gravity. Gravity is a fundamental force that pulls all objects toward Earth's center. The remarkable fact is that all objects fall with the same acceleration, approximately nine point eight meters per second squared, regardless of their mass.
Now let's examine the mathematical equations that describe free fall motion. There are three key equations. First, velocity equals initial velocity plus gravity times time. Second, height equals initial velocity times time plus one half gravity times time squared. Third, final velocity squared equals initial velocity squared plus two times gravity times height. This graph shows how an object's height changes over time when dropped from eighty meters.
Projectile motion occurs when an object is launched at an angle. The object follows a parabolic path due to the combination of horizontal and vertical motion. Horizontally, the object moves with constant velocity, while vertically it accelerates downward due to gravity. The horizontal position is given by initial velocity times cosine of angle times time. The vertical position includes both the initial upward velocity component and the downward acceleration due to gravity.
Motion under gravity is a fundamental concept in physics. When objects fall near Earth's surface, they experience a constant acceleration of nine point eight meters per second squared downward. This gravitational acceleration affects all objects equally, regardless of their mass.
There are three key equations for motion under gravity. First, the position equation: h equals h naught minus one half g t squared, where h naught is the initial height. Second, the velocity equation: v equals negative g t, with the negative sign indicating downward motion. Third, the velocity-position relation: v squared equals two g times h naught minus h, which is useful when time is unknown.
The velocity versus time graph for motion under gravity is a straight line with negative slope. The velocity starts at zero and increases linearly with time. The slope of this line equals negative g, or negative nine point eight meters per second squared. This linear relationship shows that velocity increases by nine point eight meters per second every second.
Let's solve a practical example. A ball is dropped from a height of forty five meters. We need to find the time to reach the ground and the final velocity. Using the equation h equals one half g t squared, we substitute forty five equals one half times nine point eight times t squared. Solving for t, we get three point zero three seconds. For the final velocity, we use v equals g t, which gives us nine point eight times three point zero three equals twenty nine point seven meters per second.
To summarize what we've learned about motion under gravity: Gravity causes a constant downward acceleration of nine point eight meters per second squared. Velocity increases linearly with time, while position follows a parabolic path. All objects fall at the same rate regardless of their mass, and these principles form the foundation for understanding projectile motion and free fall.
To summarize what we've learned about motion under gravity: Gravity causes a constant downward acceleration of nine point eight meters per second squared. Velocity increases linearly with time, while position follows a parabolic path. All objects fall at the same rate regardless of their mass, and these principles form the foundation for understanding projectile motion and free fall.