Final answer:
It is false that you always have to start at the origin to plot a point in the coordinate plane; the origin can be placed at different locations for convenience. Additionally, vectors can form right angle triangles with x and y components and displacement vs time squared for constant acceleration is a straight line.
Step-by-step explanation:
To answer the student's question: To plot a point in the coordinate plane, you always start at the origin, is false. While it is typical to begin at the origin (0,0) when plotting a point in a Cartesian coordinate system, you are not strictly required to do so. The system is based on two straight lines called axes, which are perpendicular to each other. All points are defined by their distance from the two axes, usually the x-axis (horizontal) and y-axis (vertical). However, when defining a coordinate system for specific calculations or in certain contexts, the origin can be placed at a different convenient location.
Regarding other concepts mentioned in the instructions:
- A vector can indeed form the shape of a right angle triangle with its x and y components, which is true. This is because a vector can be broken down into components that are perpendicular to each other, resembling the sides of a right-angle triangle. The Pythagorean theorem can be used to find the magnitude of the vector.
- The position vs time graph of an object that is speeding up is typically a curved line, indicating the acceleration, so that statement is false.
- For an object moving with constant acceleration, the displacement vs time squared graph will be a straight line, indicating that the displacement is proportional to the square of the time, which is true.