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Consider the following diagrams: Diagram C displays a curve with points A, B, and P, where: - The velocity vector is represented by $ extbf{v}$, pointing from P to B - HSC - SSCE Mathematics Extension 2 - Question 10 - 2021 - Paper 1
Question 10
Consider the following diagrams: Diagram C displays a curve with points A, B, and P, where: - The velocity vector is represented by $ extbf{v}$, pointing from P to ... show full transcript
Worked Solution & Example Answer:Consider the following diagrams: Diagram C displays a curve with points A, B, and P, where: - The velocity vector is represented by $ extbf{v}$, pointing from P to B - HSC - SSCE Mathematics Extension 2 - Question 10 - 2021 - Paper 1
Step 1
Describe the relationship in Diagram C
Answer
In Diagram C, the velocity vector indicates the direction of motion at point P, while the acceleration vector being tangent suggests a change in speed as the object moves from A to B. Thus, the object accelerates towards the center of curvature, indicating centripetal acceleration.
Step 2
Explain the scenario in Diagram D
Answer
Diagram D presents the acceleration vector as constant and pointing from A to P. This means that the object experiences a consistent acceleration towards point A as it reaches the endpoint P, suggesting a scenario where the speed remains constant while the direction of motion continues to change.