What is the vertical velocity/acceleration due to gravity?
Understand the Problem
The question is asking for the vertical velocity or acceleration of an object due to gravity when it falls from a height of 20 meters. It's important to recognize that in this context, the acceleration due to gravity is a constant value, approximately 9.8 m/s², regardless of the height. The question might also be implying a need to calculate the potential velocity as the object falls, but the primary inquiry revolves around the acceleration aspect.
Answer
The vertical acceleration due to gravity is $9.8 \, \text{m/s}^2$.
Answer for screen readers
The vertical acceleration due to gravity is $9.8 , \text{m/s}^2$.
Steps to Solve
- Understanding Gravity's Role
The acceleration due to gravity is a constant value, approximately $g = 9.8 , \text{m/s}^2$. This value does not change regardless of the height from which an object falls.
- Identifying the Question Parameters
The question focuses on the vertical velocity or acceleration due to gravity as the object falls from a height of 20 meters. Here, we specifically want the acceleration aspect.
- Conclusion on Acceleration
Since we are asked about the vertical acceleration due to gravity, the answer remains the same regardless of the object's height:
$$ a = g = 9.8 , \text{m/s}^2 $$
- Note on Vertical Velocity
The given horizontal velocity ($V = 5 , \text{m/s}$) does not affect the vertical acceleration under gravity; hence, we focus only on the vertical component.
The vertical acceleration due to gravity is $9.8 , \text{m/s}^2$.
More Information
The acceleration due to gravity is a fundamental concept in physics, applicable to all objects in free fall near the Earth's surface. It is a constant that influences how quickly an object accelerates downwards.
Tips
- Confusing vertical acceleration with horizontal velocity. The two components are independent; the vertical acceleration is always $9.8 , \text{m/s}^2$ regardless of horizontal motion.
- Misunderstanding that the height from which an object falls does not affect the acceleration.
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