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Question: interactive exercises 303 computing components of a vector given magnitude...

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Interactive Exercises 3.03: Computing Components of a Vector (Given Magnitude and Direction) The Martian Exploration Rovers Spirit and Opportunity landed on Mars in 2004, with the purpose of studying geological features on the surface of the Red Planet in order to piece together the history of water on Mars. Both rovers far outlasted their life expectancy. In fact, Opportunity was still active eleven years after landing. Suppose the rover Opportunity is deciding in which direction to travel from a given location. One possible displacement is shown as the default option of the simulation (linked below), and is labeled with the symbol a. By default the displacement has magnitude 금 = 4.0 m and makes an angle of θ 30.0° with the +x axis. Thus the vector points into quadrant 1. The x and y scalar components, ax and ay, are also displayed Question 1 Using the default values for the magnitude and direction of the vector in the simulation, compute the scalar components ax and a ar = By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER ▼ Question 2 Suppose the default displacement of the simulation would result in the rover falling into a deep hole. A different displacement must be considered. Adjust the direction of a in the simulation such that the vector points into Quadrant 2 and makes an angle of 130 with the +x axis and keeps the original magnitude of a -4.00 m. Compute the components of a for this case. ay By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor

Question 3 Suppose the displacement discussed in Question 2 would result in the rover hitting a sharp outcropping of rock, with the possibility of significant damage. A different displacement must be considered. Adjust the direction of a in the simulation such that the vector points into Quadrant 3 and makes an angle of-130 with the +x axis. Compute the scalar components of a for this case. ax = ay- By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your insructor. Attempts: o of 5 used SAVE FOR LATER SUBMIT ANSWER SUBMIT ANSWER ▼ Question 4 Suppose this third displacement would result in the rover going over a ciff. Another displacement is required. Adjust the direction of a in the simulation such that the vector points into Quadrant 4 and makes an angle of 30 measured clockwise from the +x axis. What are the values of ax and ay for this fourth displacement of the rover? dy By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Attempts: 0 of 5 usedSAVE FOR LATER SUBMIT ANSWER

lal (m/s) 4.000 Angle, θ, relative to +x axis (deg.) ﹁ס30.000- y(m) 4 x (m) .4 4 .4 Scalar Components of a Vector The Martian Exploration Rovers Spirit and Opportunity landed on Mars in 2004, with the purpose of studying geological features on the surface of the Red Planet in order to piece together the history of water on Mars. Both rovers far outlasted their life expectancy. In

The Martian Exploration Rovers Spirit and Opportunity landed on Mars in 2004, with the purpose of studying geological features on the surface of the Red Planet in order to piece together the history of water on Mars. Both rovers far outlasted their life expectancy. In fact, Opportunity was still active eleven years after landing. Suppose the rover Opportunity is deciding in which direction to travel from a given location. One possible displacement is shown as the default option of this graphic and is labeled with the symbol a. By default the displacement has magnitude lal 4.00 m and makes an angle of θ=300° with the +x axis. Thus the vector points into quadrant 1 . The x and y scalar components, a, and a,, are also displayed.

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