A traveling salesman takes a road trip that consists of four consecutive displac

Question

A traveling salesman takes a road trip that consists of four consecutive displacements: A = (26, -15) km B = (15, 13) km C = (0, -23) km D = (-31, -14) km Find his total displacement R from his initial starting point. Write R below in any standard coordinate notation. You do NOT need to show your work. For significant figures, assume that the above values are exact. Be sure to include units on your final answer? Find the magnitude and direction (angle) for the resultant vector in part (a). (Use the standard "trigonometric" definition for angle: let the direction of theta = 0' be along the positive x-axis, and let theta increase counterclockwise). Show your work completely. Express your final magnitude to 3 significant figures, and express your final direction to the nearest 0.1".

Explanation / Answer

total displacement

=A+B+C+D=(10,-39) km

part b:

magnitude=sqrt(10^2+39^2)=40.2616 km

angle with +ve x axis=arctan(y component/x component)

=arctan(-39/10)=-75.6186 degrees

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.