A boy tosses a ball into the air so it follows the 2-D parabolic curve in x and y as shown in the drawing. Using this figure, identify at which of the points the ball's vertical velocity component is zero. Ľ B с Vor

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Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 90A
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**Projectile Motion in Two Dimensions**

**Explanation:**
A boy tosses a ball into the air so it follows a 2-D parabolic curve in the x and y directions, as shown in the drawing below. The curve demonstrates the typical trajectory of a projectile under the influence of gravity, with an initial velocity given by \( v_0 \).

**Diagram Explanation:**
- The diagram is labeled with an x-y coordinate system to represent the horizontal (x) and vertical (y) components of the ball's motion.
- The trajectory of the ball is depicted as a dotted parabolic curve starting from the origin point, moving upwards, reaching a peak, and then descending back towards the ground.
- Points A, B, C, and D are marked along the trajectory to illustrate different positions of the ball.

**Points on the Trajectory:**
- **Point A:** The initial point where the ball is tossed with an initial velocity \( v_0 \).
- **Point B:** A point located near the peak of the curve.
- **Point C:** A point located on the descending part of the trajectory.
- **Point D:** The final point where the ball lands back on the ground.

Using this figure, identify at which of the points the ball's vertical velocity component is zero. For a projectile, the vertical velocity component momentarily becomes zero at the highest point of its trajectory. Hence, at point B, the ball’s vertical velocity component is zero.
Transcribed Image Text:**Projectile Motion in Two Dimensions** **Explanation:** A boy tosses a ball into the air so it follows a 2-D parabolic curve in the x and y directions, as shown in the drawing below. The curve demonstrates the typical trajectory of a projectile under the influence of gravity, with an initial velocity given by \( v_0 \). **Diagram Explanation:** - The diagram is labeled with an x-y coordinate system to represent the horizontal (x) and vertical (y) components of the ball's motion. - The trajectory of the ball is depicted as a dotted parabolic curve starting from the origin point, moving upwards, reaching a peak, and then descending back towards the ground. - Points A, B, C, and D are marked along the trajectory to illustrate different positions of the ball. **Points on the Trajectory:** - **Point A:** The initial point where the ball is tossed with an initial velocity \( v_0 \). - **Point B:** A point located near the peak of the curve. - **Point C:** A point located on the descending part of the trajectory. - **Point D:** The final point where the ball lands back on the ground. Using this figure, identify at which of the points the ball's vertical velocity component is zero. For a projectile, the vertical velocity component momentarily becomes zero at the highest point of its trajectory. Hence, at point B, the ball’s vertical velocity component is zero.
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