A hiker follows three straight paths in succession:

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A hiker follows three straight paths in succession: (i)

3\,\text{km}

due east in

30\,\text{min}

, (ii)

4\,\text{km}

due north in

40\,\text{min}

, (iii)

5\,\text{km}

due west in

50\,\text{min}

. Find the magnitude and direction of the hiker’s average velocity for the complete journey. Take east as

0^\circ

and measure the direction counter-clockwise. (a)

4.5\text{ km/h}

27^{\circ}

north of east (b)

2.2\text{ km/h}

64^{\circ}

north of west (c)

3.7\text{ km/h}

64^{\circ}

north of west (d)

2.2\text{ km/h}

63^{\circ}

north of east