(a) Explain what is meant by resolving a vector into rectangular components. (b) A…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

(a) Explain what is meant by resolving a vector into rectangular components. (b) A vector of magnitude

V

makes an angle

\theta

with the positive

x

-axis. Derive expressions for its rectangular components

V_x

and

V_y

in terms of

V

and

\theta

. (c) Using your result from part (b), obtain an expression for the magnitude

V

of the vector in terms of its components. (d) Discuss how the algebraic signs of

V_x

and

V_y

change when the vector lies in the second and third quadrants of the Cartesian plane.