Points: 5 6) A teacher sends her students on a treasure hunt. She gives the foll
ID: 1656264 • Letter: P
Question
Points: 5 6) A teacher sends her students on a treasure hunt. She gives the following instructions: 1. Walk 300 m north 2. Walk 400 m northwest 3. Walk 700 m northeast and the treasure is buried there. As all the other students walk off following the instructions, Joe physics student quickly adds the displacements and walks in a straight line to find the treasure. How far and in what direction does Joe need to walk A) 481 m in a direction 40.9° north of east B) 1400 m in a direction 67.3 north of east C) 284 m in a direction 28.2° west of north D) If none of these, write your answer here: Magnitude: E) The treasure position cannot be reached in one straight walk. Direction:-Explanation / Answer
displacement = [300 + 400 cos 45 degree + 700 cos 45 degree ] n + [-400 sin 45 degree + 700 sin 45 degree ] e
= 1078 n+ 212 e
= sqrt(1078^2+212^2)
= 1099 m
direction = arctan(1078/212)
= 78.9 degree with +x axis
option d is correct