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At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.1 m/s². The car at B is traveling at 28.5 m/s along the straightaway and increasing its speed at 2 m/s². Figure VB BO 100 m 100 m 45° 1 of 1 VA = 10 m/s ▼ Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive a axis. Express your answer in degrees yo three significant figures. ► View Available Hint(s) 0= Submit Part C X Incorrect; Try Again VE ΑΣΦ. It Submit Previous Answers Request Answer Part D aA/B = Value vec Determine the magnitude of the relative acceleration of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) HA Units B ? ? 0 Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures.

At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while increasing its speed at 5.1 m/s². The car at B is traveling at 28.5 m/s along the straightaway and increasing its speed at 2 m/s². Figure VB BO 100 m 100 m 45° 1 of 1 VA = 10 m/s ▼ Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive a axis. Express your answer in degrees yo three significant figures. ► View Available Hint(s) 0= Submit Part C X Incorrect; Try Again VE ΑΣΦ. It Submit Previous Answers Request Answer Part D aA/B = Value vec Determine the magnitude of the relative acceleration of A with respect to B at this instant. Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) HA Units B ? ? 0 Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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At the instant shown in (Figure 1) , the car at A is traveling at 10 m/sm/s around the curve while increasing its speed at 5.1 m/s2m/s2. The car at B is traveling at 28.5 m/sm/s along the straightaway and increasing its speed at 2 m/s^2.

 

First Question: Determine the direction angle of the relative velocity with respect to B at this instant, measured counterclockwise from the positive x axis.

Second Question: Determine the magnitude of the relative acceleration of A with respect to B at this instant.

Third Question: Determine the direction angle of the relative acceleration with respect to B at this instant, measured counterclockwise from the positive x axis.

 

 

 

### Physics Problem on Relative Motion and Acceleration --- #### Problem Statement: At the instant shown in **Figure 1**, the car at **A** is traveling at 10 m/s around the curve while increasing its speed at 5.1 m/s². The car at **B** is traveling at 28.5 m/s along the straightaway and increasing its speed at 2 m/s². --- #### Figure 1 Explanation: The diagram depicts two cars, A and B, in motion: - **Car A** is on a curved path, moving with a velocity (\(v_A\)) of 10 m/s. It is positioned 100 m from an intersection point, making a 45° angle on the curved road. - **Car B** is moving straight with a velocity (\(v_B\)) indicated. It is also positioned 100 m from the same intersection point on the straightaway road. Coordinates are marked with an origin at the intersection of the curve and the straightaway. The x-axis runs horizontally to the right, and the y-axis runs vertically upwards. --- #### **Part B** **Problem:** Determine the direction angle (\(\theta\)) of the relative velocity of **A** with respect to **B** at this instant, measured counterclockwise from the positive x-axis. **Instructions:** Express your answer in degrees to three significant figures. **Hints are available** (with an option to view and expand them): **Answer Input Section:** - Text box for angle (\(\theta\)) with tools for mathematical symbols. - **Submit** button for answer submission. - Immediate feedback section for incorrect answers. --- #### **Part C** **Problem:** Determine the magnitude of the relative acceleration (\(a_{A/B}\)) of **A** with respect to **B** at this instant. **Instructions:** Express your answer to three significant figures and include the appropriate units. **Hints are available** (with an option to view and expand them): **Answer Input Section:** - Text box for magnitude (\(a_{A/B}\)) with tools for mathematical symbols and units. - **Submit** button for answer submission. --- #### **Part D** **Problem:** Determine the direction angle (\(\theta\)) of the relative acceleration of **A** with respect to **B** at this instant, measured counterclockwise from the positive x-axis. **Instructions:** Express your answer in degrees to three significant figures
Transcribed Image Text:### Physics Problem on Relative Motion and Acceleration --- #### Problem Statement: At the instant shown in **Figure 1**, the car at **A** is traveling at 10 m/s around the curve while increasing its speed at 5.1 m/s². The car at **B** is traveling at 28.5 m/s along the straightaway and increasing its speed at 2 m/s². --- #### Figure 1 Explanation: The diagram depicts two cars, A and B, in motion: - **Car A** is on a curved path, moving with a velocity (\(v_A\)) of 10 m/s. It is positioned 100 m from an intersection point, making a 45° angle on the curved road. - **Car B** is moving straight with a velocity (\(v_B\)) indicated. It is also positioned 100 m from the same intersection point on the straightaway road. Coordinates are marked with an origin at the intersection of the curve and the straightaway. The x-axis runs horizontally to the right, and the y-axis runs vertically upwards. --- #### **Part B** **Problem:** Determine the direction angle (\(\theta\)) of the relative velocity of **A** with respect to **B** at this instant, measured counterclockwise from the positive x-axis. **Instructions:** Express your answer in degrees to three significant figures. **Hints are available** (with an option to view and expand them): **Answer Input Section:** - Text box for angle (\(\theta\)) with tools for mathematical symbols. - **Submit** button for answer submission. - Immediate feedback section for incorrect answers. --- #### **Part C** **Problem:** Determine the magnitude of the relative acceleration (\(a_{A/B}\)) of **A** with respect to **B** at this instant. **Instructions:** Express your answer to three significant figures and include the appropriate units. **Hints are available** (with an option to view and expand them): **Answer Input Section:** - Text box for magnitude (\(a_{A/B}\)) with tools for mathematical symbols and units. - **Submit** button for answer submission. --- #### **Part D** **Problem:** Determine the direction angle (\(\theta\)) of the relative acceleration of **A** with respect to **B** at this instant, measured counterclockwise from the positive x-axis. **Instructions:** Express your answer in degrees to three significant figures
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