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4. In the following scenarios, the velocity and acceleration vectors of a person are shown. Say whether or not the person is turning, and if so, in which direction. Also say whether the person is speeding up, slowing down or moving at constant speed.

4. In the following scenarios, the velocity and acceleration vectors of a person are shown. Say whether or not the person is turning, and if so, in which direction. Also say whether the person is speeding up, slowing down or moving at constant speed.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Title: Analyzing Motion through Velocity and Acceleration Vectors** **Scenario Description:** In this exercise, we’re examining the velocity and acceleration vectors of a moving person across different scenarios. Your task is to determine if the person is turning, specify the direction if they are, and assess whether the person is speeding up, slowing down, or moving at a constant speed. **Vector Analysis:** **A)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points to the right. - **Turning? Direction?:** Yes, turning to the right. - **Speeding up or slowing?:** Constant speed. **B)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points downwards. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Slowing down. **C)** - **Vectors:** Velocity (\( \vec{v} \)) and Acceleration (\( \vec{a} \)) both point downwards but at different angles. - **Turning? Direction?:** Yes, possibly turning left. - **Speeding up or slowing?:** Speeding up. **D)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points upwards as well. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Speeding up. **E)** - **Vectors:** Velocity (\( \vec{v} \)) and Acceleration (\( \vec{a} \)) point to the right with \( \vec{a} \) possibly shorter. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Speeding up. **F)** - **Vectors:** Velocity (\( \vec{v} \)) points downwards at an angle; Acceleration (\( \vec{a} \)) points upwards at an angle. - **Turning? Direction?:** Yes, possibly to the left. - **Speeding up or slowing?:** Slowing down. **Conclusion:** To determine if the person is speeding up, slowing down, or moving at a constant speed, examine the relationship between the direction of the velocity and acceleration vectors.
Transcribed Image Text:**Title: Analyzing Motion through Velocity and Acceleration Vectors** **Scenario Description:** In this exercise, we’re examining the velocity and acceleration vectors of a moving person across different scenarios. Your task is to determine if the person is turning, specify the direction if they are, and assess whether the person is speeding up, slowing down, or moving at a constant speed. **Vector Analysis:** **A)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points to the right. - **Turning? Direction?:** Yes, turning to the right. - **Speeding up or slowing?:** Constant speed. **B)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points downwards. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Slowing down. **C)** - **Vectors:** Velocity (\( \vec{v} \)) and Acceleration (\( \vec{a} \)) both point downwards but at different angles. - **Turning? Direction?:** Yes, possibly turning left. - **Speeding up or slowing?:** Speeding up. **D)** - **Vectors:** Velocity (\( \vec{v} \)) points upwards; Acceleration (\( \vec{a} \)) points upwards as well. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Speeding up. **E)** - **Vectors:** Velocity (\( \vec{v} \)) and Acceleration (\( \vec{a} \)) point to the right with \( \vec{a} \) possibly shorter. - **Turning? Direction?:** No. - **Speeding up or slowing?:** Speeding up. **F)** - **Vectors:** Velocity (\( \vec{v} \)) points downwards at an angle; Acceleration (\( \vec{a} \)) points upwards at an angle. - **Turning? Direction?:** Yes, possibly to the left. - **Speeding up or slowing?:** Slowing down. **Conclusion:** To determine if the person is speeding up, slowing down, or moving at a constant speed, examine the relationship between the direction of the velocity and acceleration vectors.
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