Physics 12

Name: _____________________________

Introduction to 2D Vectors Worksheet Answers 1. Break the following vectors into components: a. 45 km in a direction 25 S of E;

sin 25 

dy

45 d y 19km

cos 25 

dx

45 dx  41km

b. 74 km, 35 E of N

sin 35 

dx

74 d x  42km

cos 35 

dy

74 d y  61km

2. A bug crawled 34.0 cm E, then 48.5 cm S. What is the bug’s displacement from his starting point? In this question, you are given the components of the displacement vector. dx 34.0cm d y 48.5cm d ?

Physics 12

Name: _____________________________

d

d  (34.0)2 (48.5)2 59.2 cm

48.5 34.0  55.0

tan 

The displacement is d 59.2 cm, 55.0S of E

3. A ship leaves its home port expecting to travel to a port 500. km due south. Before it can move, a severe storm comes up and blows the ship 100. km due east. How far is the ship from its destination? In what direction must the ship travel to reach its destination? The ship must go 100. km west and 500. km south to reach its intended destination:

d

d  (100.)2 (500.)2 510.km

tan 

500.

100.  78.7

The ship must travel 510.km in a direction 78.7S of W