Acceleration due to gravity ($g$) is the constant acceleration experienced by objects falling freely towards a celestial body, like Earth. Near the Earth's surface, $g$ is approximately $9.8 m/s^2$. This means that for every second an object falls, its velocity increases by $9.8 m/s$. This value is crucial for solving problems related to projectile motion and free fall.
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Gravity | A. The rate of change of velocity per unit of time. |
| 2. Acceleration | B. The force that attracts a body towards the center of the earth, or towards any other physical body having mass. |
| 3. Free Fall | C. The acceleration of an object due exclusively to the force of gravity. |
| 4. Terminal Velocity | D. The motion of a body where gravity is the only force acting upon it. |
| 5. g | E. The constant speed that a freely falling object eventually reaches when the resistance of the medium through which it is falling prevents further acceleration. |
Match the numbers with the letters. For example: 1 - B
Complete the following paragraph using the words provided (words may be used more than once):
Words: 9.8, acceleration, gravity, velocity, constant
The ________ due to ________ near the Earth's surface is approximately ________ $m/s^2$. This means that the ________ of a falling object increases by this amount every second, assuming air resistance is negligible. We often treat this ________ value as a ________ when solving physics problems.
Imagine you drop two objects of different masses from the same height. Assuming no air resistance, which one will hit the ground first? Explain your reasoning using the concept of acceleration due to gravity.
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