Math Problem Statement
Solution
The question in the image asks about the acceleration due to gravity, , for an object rising after being thrown. The answer involves understanding that the acceleration due to gravity is constant near the surface of the Earth, regardless of whether the object is moving upwards or downwards.
The acceleration due to gravity, , is approximately (or for simplicity in this context). This value is negative because gravity acts downward, opposite to the direction of the object's upward motion. Hence, the correct answer is:
-10 m/s²
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Here are five related questions to consider:
- What is the difference between velocity and acceleration in free-fall motion?
- Why is the acceleration due to gravity constant, regardless of the direction of motion?
- How does air resistance affect the motion of objects in free fall?
- What is terminal velocity, and how does it relate to free fall?
- What is the maximum height an object can reach in projectile motion?
Tip: In physics problems, always pay attention to the direction of forces and motion. Positive and negative signs are crucial for correctly determining the nature of acceleration and velocity.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Acceleration
Free Fall
Formulas
Acceleration due to gravity, g = -9.8 m/s² (approx. -10 m/s²)
Theorems
Newton's Law of Universal Gravitation
Suitable Grade Level
Grades 9-12
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