QuestionQuestion 1 (1 point) An object falling near the earth's surface has a constant acceleration of $9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$ . This means that the a object falls 9.8 m during the first second of its motion b object falls 9.8 m during each second of its motion c speed of the object increases by $9.8 \mathrm{~m} / \mathrm{s}$ during each second of its motion d acceleration of the object increases by $9.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2$ during each second of its motion

Studdy Solution

STEP 1

1. The object is falling under the influence of gravity near the Earth's surface.
2. The acceleration due to gravity is constant at $9.8 \, \mathrm{m/s^2}$ .
3. We need to determine the correct interpretation of this constant acceleration.

STEP 2

1. Understand what constant acceleration means.
2. Analyze each given option.
3. Determine which option correctly describes the motion of the object.

STEP 3

Constant acceleration means that the rate of change of velocity of the object is constant over time.

STEP 4

Analyze option (a): "object falls 9.8 m during the first second of its motion." - This statement implies a specific distance fallen in the first second, which is not directly what constant acceleration describes.

STEP 5

Analyze option (b): "object falls 9.8 m during each second of its motion." - This statement implies a constant distance fallen per second, which is incorrect because the distance increases as the object speeds up.

STEP 6

Analyze option (c): "speed of the object increases by $9.8 \, \mathrm{m/s}$ during each second of its motion." - This statement correctly describes constant acceleration, as acceleration is the rate of change of velocity.

STEP 7

Analyze option (d): "acceleration of the object increases by $9.8 \, \mathrm{m/s^2}$ during each second of its motion." - This statement is incorrect because it suggests that acceleration itself is changing, which contradicts the given constant acceleration.

STEP 8

Based on the analysis, option (c) is the correct interpretation of constant acceleration.
The correct answer is:
$\boxed{\text{c}}$

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Studdy Solution

STEP 1

1. The object is falling under the influence of gravity near the Earth's surface.
2. The acceleration due to gravity is constant at $9.8 \, \mathrm{m/s^2}$ .
3. We need to determine the correct interpretation of this constant acceleration.

STEP 2

1. Understand what constant acceleration means.
2. Analyze each given option.
3. Determine which option correctly describes the motion of the object.

STEP 3

Constant acceleration means that the rate of change of velocity of the object is constant over time.

STEP 4

Analyze option (a): "object falls 9.8 m during the first second of its motion." - This statement implies a specific distance fallen in the first second, which is not directly what constant acceleration describes.

STEP 5

Analyze option (b): "object falls 9.8 m during each second of its motion." - This statement implies a constant distance fallen per second, which is incorrect because the distance increases as the object speeds up.

STEP 6

Analyze option (c): "speed of the object increases by $9.8 \, \mathrm{m/s}$ during each second of its motion." - This statement correctly describes constant acceleration, as acceleration is the rate of change of velocity.

STEP 7

Analyze option (d): "acceleration of the object increases by $9.8 \, \mathrm{m/s^2}$ during each second of its motion." - This statement is incorrect because it suggests that acceleration itself is changing, which contradicts the given constant acceleration.

STEP 8

Based on the analysis, option (c) is the correct interpretation of constant acceleration.
The correct answer is:
$\boxed{\text{c}}$

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Studdy Solution

STEP 1

1. The object is falling under the influence of gravity near the Earth's surface.2. The acceleration due to gravity is constant at 9.8 m/s29.8 \, \mathrm{m/s^2}9.8m/s2.3. We need to determine the correct interpretation of this constant acceleration.

STEP 2

1. Understand what constant acceleration means.2. Analyze each given option.3. Determine which option correctly describes the motion of the object.

STEP 3

Constant acceleration means that the rate of change of velocity of the object is constant over time.

STEP 4

Analyze option (a): "object falls 9.8 m during the first second of its motion." - This statement implies a specific distance fallen in the first second, which is not directly what constant acceleration describes.

STEP 5

Analyze option (b): "object falls 9.8 m during each second of its motion." - This statement implies a constant distance fallen per second, which is incorrect because the distance increases as the object speeds up.

STEP 6

Analyze option (c): "speed of the object increases by 9.8 m/s9.8 \, \mathrm{m/s}9.8m/s during each second of its motion." - This statement correctly describes constant acceleration, as acceleration is the rate of change of velocity.

STEP 7

Analyze option (d): "acceleration of the object increases by 9.8 m/s29.8 \, \mathrm{m/s^2}9.8m/s2 during each second of its motion." - This statement is incorrect because it suggests that acceleration itself is changing, which contradicts the given constant acceleration.

STEP 8

Based on the analysis, option (c) is the correct interpretation of constant acceleration. The correct answer is:c \boxed{\text{c}} c​

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1. The object is falling under the influence of gravity near the Earth's surface.
2. The acceleration due to gravity is constant at $9.8 \, \mathrm{m/s^2}$ .
3. We need to determine the correct interpretation of this constant acceleration.

1. Understand what constant acceleration means.
2. Analyze each given option.
3. Determine which option correctly describes the motion of the object.

Analyze option (c): "speed of the object increases by $9.8 \, \mathrm{m/s}$ during each second of its motion." - This statement correctly describes constant acceleration, as acceleration is the rate of change of velocity.

Analyze option (d): "acceleration of the object increases by $9.8 \, \mathrm{m/s^2}$ during each second of its motion." - This statement is incorrect because it suggests that acceleration itself is changing, which contradicts the given constant acceleration.

Based on the analysis, option (c) is the correct interpretation of constant acceleration.
The correct answer is:
$\boxed{\text{c}}$