A garden has a circular path of radius 50 m. John starts at the easternmost point on this path, then walks counterclockwise around the path until he is at its southernmost point. What is John’s displacement? Use the (magnitude, direction) notation for your answer.

Please help me answer number 5 with complete solution

A driver takes a wrong turn at an intersection and travels 2.6 km north, then 8.7 km east and finally 7.5 km south. What is his displacement from the intersection? Enter your answers without units, correct to three significant digits. (a) The magnitude of the displacement is: This question accepts numbers or formulas. Help | Switch to Equation Editor | Preview (b) The direction of the displacement is: Enter your answer in standard position as an angle in degrees such that 0º < 0< 360°

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W S E Final position What is the resultant displacement from the entrance? magnitude direction m ° south of east

Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.

The magnitude V1 is 6.2 and it points along the negative x axis, while the magnitude V2 is 8.0 and it points at 40 degrees counter clockwise from the positive x axis.  A. What are the x and y components of vector V1? B. What are the X and Y components of vector V2? C. Determine magnitude of the sum V1+V2 D. Determine the angle of the sum V1+V2, measured counter clockwise from the positive x axis.

C please

Your dog is running around the grass in your back yard. He undergoes successive displacements 3.56 m south, 8.52 m northeast, and 15.4 m west. What is the resultant displacement? (Take the +x direction to be east.) 8.45 X magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.° counterclockwise from the +x direction

ū u = (-4,-8) Find the magnitude of u. Enter an exact answer as an expression with a square root symbol or enter an approximate answer as a decimal rounded to the nearest hundredth. ||ū|| =

A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80.0 m long and the next to be 105 m. These sides are represented as displacement vectors A from B in Figure 15. She then correctly calculates the length and orientation of the third side C. What is her result?