What is the value of gravity in free-fall and two-dimensional kinematics?

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In free-fall, the acceleration due to gravity is consistently +9.81 m/s², indicating the direction is downward. In the context of two-dimensional kinematics, gravity acts on an object thrown into the air as -9.81 m/s², reflecting its downward force. Regardless of the object's motion, gravity remains directed downward at 9.81 m/s². The sign convention can vary, but the magnitude and direction of gravitational acceleration are constant. Understanding this principle is crucial for solving problems related to free-fall and projectile motion.
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Homework Statement



I have just a question to clarify. When an object is in free-fall the gravity is always + 9.81 m/s^2? and also when it is talking about two dimension kinematics gravity is working on an object thrown in the air it is -9.81 m/s^2?

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The Attempt at a Solution

 
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Yes, when the object is in freefall on Earth, gravity = a = 9.8m/s^2 down. Signs are optional but you could say -9.8n/s^s.
In 2D, the gravity is always 9.8m/s^2 down on the object.

It doesn't matter how the object is moving or thrown, gravity is always down.
 

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