A displacement vector ( S =12

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A displacement vector

\mathbf{S}=12\,\hat{i}+b\,\hat{j}\,\text{m}

has a magnitude of

13\,\text{m}

. The vertical component is known to be directed upward. (i) Determine the value of the constant

b

. (ii) Write the vector

\mathbf{S}

completely in unit–vector notation. (iii) Find the unit vector in the direction of

\mathbf{S}