calculating displacement practice\ndisplacement in 1 - dimension\ndirections: galaxy the cat has snuck out…

calculating displacement practice\ndisplacement in 1 - dimension\ndirections: galaxy the cat has snuck out of the house to help us visualize displacement by moving different ways around her neighborhood. consider galaxy’s house the origin (0 m). for each scenario, calculate the displacement. use the diagram on the back of this page to visualize the movement.\nremember: your answer should have direction and magnitude!\n1. galaxy walks 7 meters east from her house to inspect a flower. what is her displacement? 7 meters east\n2. from her house, galaxy walks 8 meters west to hiss at a dog. then she walks another 2 meters west to smell a tree. what is her total displacement? 10 meters west\n3. from her house, galaxy walks 10 meters south to the neighborhood cat hangout spot. what is her displacement? 10 meters south\n4. while at the hangout spot, galaxy sees a cat named link. she walks 3 meters north from the park to verify if link is cool enough to hangout with them. what is her displacement? 3 meters north\n5. galaxy’s friend ziggy is meowing for galaxy to come get her. from the hangout spot, galaxy walks 19 meters north to where ziggy is. then, galaxy and ziggy go back to the hangout spot. what is her total displacement? 0 meters\ndisplacement in 2 - dimensions\ndirections: for each scenario, calculate the displacement. you will need to use the diagram to visualize the movement and to determine how many meters galaxy is moving.\nremember: your answer should have direction and magnitude!\npythagorean theorem: $a^{2}+b^{2}=c^{2}\\to c = \\sqrt{a^{2}+b^{2}}$\n6. galaxy walks from her house to inspect the tree again, then she catches the scent of some stinky shrubs and walks south to smell them. what is her displacement from home when she is at the shrubs? show work!\n7. from home, galaxy walks to inspect a pile of trash some hooligan threw in the backyard. what is her displacement? show work!\n8. from home, galaxy runs to catch a field mouse. what is her displacement? show work!

calculating displacement practice\ndisplacement in 1 - dimension\ndirections: galaxy the cat has snuck out of the house to help us visualize displacement by moving different ways around her neighborhood. consider galaxy’s house the origin (0 m). for each scenario, calculate the displacement. use the diagram on the back of this page to visualize the movement.\nremember: your answer should have direction and magnitude!\n1. galaxy walks 7 meters east from her house to inspect a flower. what is her displacement? 7 meters east\n2. from her house, galaxy walks 8 meters west to hiss at a dog. then she walks another 2 meters west to smell a tree. what is her total displacement? 10 meters west\n3. from her house, galaxy walks 10 meters south to the neighborhood cat hangout spot. what is her displacement? 10 meters south\n4. while at the hangout spot, galaxy sees a cat named link. she walks 3 meters north from the park to verify if link is cool enough to hangout with them. what is her displacement? 3 meters north\n5. galaxy’s friend ziggy is meowing for galaxy to come get her. from the hangout spot, galaxy walks 19 meters north to where ziggy is. then, galaxy and ziggy go back to the hangout spot. what is her total displacement? 0 meters\ndisplacement in 2 - dimensions\ndirections: for each scenario, calculate the displacement. you will need to use the diagram to visualize the movement and to determine how many meters galaxy is moving.\nremember: your answer should have direction and magnitude!\npythagorean theorem: $a^{2}+b^{2}=c^{2}\\to c = \\sqrt{a^{2}+b^{2}}$\n6. galaxy walks from her house to inspect the tree again, then she catches the scent of some stinky shrubs and walks south to smell them. what is her displacement from home when she is at the shrubs? show work!\n7. from home, galaxy walks to inspect a pile of trash some hooligan threw in the backyard. what is her displacement? show work!\n8. from home, galaxy runs to catch a field mouse. what is her displacement? show work!

Answer

Explanation:

Step1: Recall displacement concept

Displacement is the straight - line distance from the starting point to the ending point with direction. For 1 - D problems, we just sum up the displacements in the given direction. For 2 - D problems, we may use the Pythagorean theorem $c=\sqrt{a^{2}+b^{2}}$ if the movements are perpendicular.

Step2: Solve problem 6

Since no information about the perpendicular distances of the two - part movement (to the tree and then to the shrubs) is given, we cannot calculate a numerical answer. But if we assume the two movements are perpendicular, and say the distance to the tree is $x$ meters and the distance from the tree to the shrubs is $y$ meters, the magnitude of the displacement $d$ from home to the shrubs is $d = \sqrt{x^{2}+y^{2}}$ and the direction is some angle $\theta$ such that $\tan\theta=\frac{y}{x}$ (where the direction is described relative to the initial direction of movement). Since no values are given, we cannot provide a numerical answer.

Step3: Solve problem 7

No information about the movement to the trash pile (such as the components of the movement in a coordinate system or the distance and direction) is given. So we cannot calculate the displacement.

Step4: Solve problem 8

No information about the movement to catch the field - mouse (such as the components of the movement in a coordinate system or the distance and direction) is given. So we cannot calculate the displacement.

Answer:

  1. Insufficient information to calculate.
  2. Insufficient information to calculate.
  3. Insufficient information to calculate.