If you walk 1.4 km north and then 4.8 km east, what are the magnitude and direction of your resultant displacement? a. magnitude: 5 km; direction: 73.7 degrees east of north b. magnitude: 4.6 km; direction: 73.7 degrees east of north c. magnitude: 5 km; direction: 16.3 degrees east of north d. magnitude: 4.6 km; direction: 16.3 degrees east of north

A

North and east are perpendicular directions hence we can use them as the basis of our coordinate system. The coordinates of this point can then simply be represented as

P = 1.4 N + 4.8 E (km)

The magnitude can be given by the right triangle formula :

P =

= 5 km

Direction  = atan(N/E) = 16.3  deg north of east = 73.7 deg east of north

8. Is trough 9. Is crest 10. Is wavelength 7. Is amplitude

Explanation: