Question

Valentina has decided that she is going to take the fashion scene by storm. In order to achieve this, she has decided on a new training program. Every day she jogs 25.0 km west then turns north and goes another 45.0 km until she arrives at her gym where she does some strength training. What is her final displacement (resultant) vector? You have to find the magnitude of the VR and the angle.

Answer 1

To find the final displacement vector, we can use the graphical technique for adding vectors. First, we need to determine the horizontal and vertical components of each displacement. Then, we can add up the components and find the magnitude and angle of the resultant vector.

Step-by-step explanation:

To find the final displacement vector, we can use the graphical technique for adding vectors. First, we need to determine the horizontal and vertical components of each displacement.

For the first path, the horizontal component is 25.0 km west and the vertical component is 0 km. For the second path, the horizontal component is 0 km and the vertical component is 45.0 km north. Finally, for the strength training, the horizontal component is 0 km and the vertical component is 0 km.

To find the final displacement vector, we add up the horizontal and vertical components. The resultant vector will have a magnitude equal to the square root of the sum of the squares of the horizontal and vertical components. The angle can be found using the inverse tangent function.

Using this method, we can find the final displacement vector of Valentina's training program.