An adventurous cliff jumper runs horizontally off a cliff at time t = 0. We can ignore air resistance. Which graph best describes the cliff jumpers vertical displacement over time? Assume the origin of the coordinate system to coordinate to be the cliff edge.

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An adventurous cliff jumper runs horizontally off a cliff at time t = 0. We can ignore air resistance. Which graph best describes the cliff jumpers vertical displacement over time? Assume the origin of the coordinate system to coordinate to be the cliff edge.
**2D Projectile Motion: Identifying Graphs for Motion**

**Choose 1 answer:**

**Graph A:**
- The graph features an axis labeled \( y \) (vertical) and \( x \) (horizontal).
- The curve starts at a higher point on the \( y \)-axis and slopes downward as it moves toward the \( x \)-axis.
- This graph suggests a steep initial drop that gradually lessens, indicative of a deceleration in the vertical motion.

**Graph B:**
- This graph also has \( y \) (vertical) and \( x \) (horizontal) axes.
- The curve begins at a higher point on the \( y \)-axis and forms a more gradual downward slope as it progresses.
- It represents a less steep trajectory, suggesting a more steady descent, aligning with typical projectile motion under gravity.

Both graphs illustrate different potential behaviors of a projectile's motion over time.
Transcribed Image Text:**2D Projectile Motion: Identifying Graphs for Motion** **Choose 1 answer:** **Graph A:** - The graph features an axis labeled \( y \) (vertical) and \( x \) (horizontal). - The curve starts at a higher point on the \( y \)-axis and slopes downward as it moves toward the \( x \)-axis. - This graph suggests a steep initial drop that gradually lessens, indicative of a deceleration in the vertical motion. **Graph B:** - This graph also has \( y \) (vertical) and \( x \) (horizontal) axes. - The curve begins at a higher point on the \( y \)-axis and forms a more gradual downward slope as it progresses. - It represents a less steep trajectory, suggesting a more steady descent, aligning with typical projectile motion under gravity. Both graphs illustrate different potential behaviors of a projectile's motion over time.
**2D Projectile Motion: Identifying Graphs**

In this section, we will explore two graphs related to 2D projectile motion.

### Graph C

- **Axes Description:**
  - The vertical axis represents the variable \( y \).
  - The horizontal axis represents the variable \( t \) (time).

- **Graph Characteristics:**
  - The graph starts at a certain positive \( y \)-value when \( t = 0 \).
  - The line exhibits a downward slope, indicating a decrease in \( y \) as \( t \) increases. This suggests that the object is descending over time, likely experiencing the effects of gravity.

### Graph D

- **Axes Description:**
  - The vertical axis represents the variable \( y \).
  - The horizontal axis represents the variable \( t \) (time).

- **Graph Characteristics:**
  - The graph initially appears flat or horizontal, indicating little to no change in \( y \) for a short duration as \( t \) begins.
  - Following this, the line curves upwards, showing an increase in \( y \) as \( t \) increases. This suggests an upward motion, potentially due to an accelerating force acting on the object.

These graphs help visualize the different aspects of projectile motion, where objects move in two dimensions under the influence of gravity.
Transcribed Image Text:**2D Projectile Motion: Identifying Graphs** In this section, we will explore two graphs related to 2D projectile motion. ### Graph C - **Axes Description:** - The vertical axis represents the variable \( y \). - The horizontal axis represents the variable \( t \) (time). - **Graph Characteristics:** - The graph starts at a certain positive \( y \)-value when \( t = 0 \). - The line exhibits a downward slope, indicating a decrease in \( y \) as \( t \) increases. This suggests that the object is descending over time, likely experiencing the effects of gravity. ### Graph D - **Axes Description:** - The vertical axis represents the variable \( y \). - The horizontal axis represents the variable \( t \) (time). - **Graph Characteristics:** - The graph initially appears flat or horizontal, indicating little to no change in \( y \) for a short duration as \( t \) begins. - Following this, the line curves upwards, showing an increase in \( y \) as \( t \) increases. This suggests an upward motion, potentially due to an accelerating force acting on the object. These graphs help visualize the different aspects of projectile motion, where objects move in two dimensions under the influence of gravity.
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