Position, Distance, And Displacement Simulation Quiz

The answer "14, 14m" suggests that the person is both 14 units and 14 meters away from the school. This could indicate that the person is measuring their distance from the school in two different units of measurement, or that they are referring to two different locations or points of reference. Without further context, it is difficult to determine the exact meaning of the answer.

The reason why the numbers are negative is because the endpoint was in the negative x-direction AND in the negative y-direction, compared to the starting point. This indicates that the person moved towards the left (negative x-direction) and downwards (negative y-direction) from their starting point.

The ŷ vector represents the direction in the y-axis. If Brian and his friend walked in the negative y direction, it means they moved downwards or in the opposite direction of the positive y-axis. This is why the ŷ vector is negative in this scenario.

Brian should travel a distance of 14 meters in the negative x-direction to reach home. The negative value indicates that he needs to move in the opposite direction of the positive x-axis. The additional information provided in meters confirms the unit of measurement for the distance traveled.

The given expression represents the displacement vector from school to a friend's house. The "0x" component indicates that there is no displacement in the x-direction, while the "7y" component indicates a displacement of 7 units in the y-direction. Therefore, the overall displacement vector is "0x + 7y".

The given displacement vector represents the distance and direction from the house to the school. The vector is represented in terms of x and y coordinates, where x represents the horizontal distance and y represents the vertical distance. The vector is written as 14x + 0y, which means that the horizontal displacement is 14 units in the x direction and there is no vertical displacement (0 units in the y direction). The repetition of the vector (14x + 0y, 14x + 0y) suggests that the displacement vector remains the same throughout the journey from the house to the school.

The given expression, 3x + 10y, represents the displacement vector from the house to the park. The "3x" term indicates the displacement in the x-direction, while the "10y" term represents the displacement in the y-direction. Therefore, the vector 3x + 10y gives the combined displacement in both the x and y directions. The repetition of the expression, 3x+10y, is likely a typo or error in the question.

The displacement vector for going from the park to the friend's house is represented by the expression 11x + -3y or 11x + -3y. The "x" and "y" variables represent the horizontal and vertical components of the displacement respectively. The positive coefficient of 11x indicates a movement towards the right or positive x-direction, while the negative coefficient of -3y indicates a movement downwards or negative y-direction. Therefore, the displacement vector is a combination of moving right and downwards.

The x component of the displacement vector from B to C is 11x.

The total displacement vector can be calculated by subtracting the initial position vector from the final position vector. In this case, the initial position vector is (2,1) and the final position vector is (16,8). Subtracting the initial position vector from the final position vector gives us (16-2, 8-1) which simplifies to (14,7). Therefore, the values of the total displacement vector are 14x + 7y.

The given answer, 0x + 7y,0x+7y, represents the displacement vector from the school to his friend's house. The vector has a magnitude of 7 units in the y-direction and no displacement in the x-direction, as indicated by the 0x term. This means that the friend's house is located 7 units directly above the school.

The given answer is the correct representation of the displacement vector from his friend's house to his home. The vector is described in terms of its x and y components, with -14x representing the displacement in the x-direction and -7y representing the displacement in the y-direction. The negative signs indicate that the displacement is in the opposite direction of the positive x and y axes.

The x component of the total displacement vector from A to C is 14x. This means that when Brian walks from his house to the park and then to his friend's house, the displacement in the x direction is 14x. The 14 represents the magnitude of the displacement, while the x indicates that the direction of the displacement is in the x direction.

The ŷ vector represents the distance traveled in the y direction, while the x̂ vector represents the distance traveled in the x direction. Since it is stated that Brian walked further in the y direction than the x, it implies that the magnitude of the ŷ vector is larger than the magnitude of the x̂ vector. Therefore, the ŷ vector is larger than the x̂ vector.

The displacement y component of the vector from A to B is 10y. This means that the y-coordinate of point B is 10y units higher than the y-coordinate of point A. The 10 in the answer represents the magnitude of the displacement in the y-direction, while the y indicates that the displacement is dependent on the value of y.

The displacement y component of the vector from B to C is -3y. This means that Brian moves 3 units downward in the y direction from point B to point C. The negative sign indicates the direction of the displacement, which is downward. The "y" in -3y represents the magnitude of the displacement in the y direction.

The displacement x component of the vector from point A to point B is 3x.

The displacement y component of the vector for A to C is given by "7y, 7". This means that the displacement in the y direction is equal to 7y units, while the displacement in the x direction is equal to 7 units.