# Homework 1

Question # 40830 | 1 week ago |
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$13 |
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**Lesson 2: Problem Set 1 (40 Points)**

**Name:
___________________________________**

This Problem Set has four problems with multiple parts. Each problem is worth 10 points total. You are required to SHOW ALL YOUR WORK and give complete explanations when appropriate.

Don’t hesitate to use words to explain what you are doing along the way. Circle or highlight the final answers in yellow. Be sure to include units where appropriate. It is recommended that you print the problem set worksheet and work the problems manually. You may scan the completed worksheet or take a picture of the worksheet. Insert the picture or scan into a Word document for submission. Upload the final document to submit.

The four questions below constitute the Lesson 2 Problem Set and will be graded.

Answer the questions below:

**1**.
The width and length of a room are 3.2 yd and 4.0 yd
respectively. The height of the room is
8.0 ft.

a. What is the volume of the room in cubic meters?

b. What is the area of the ceiling in the room in square centimeters?

**2**.
Vector R has a magnitude of 10 units and is orientated at an
angle of 30o above the *x*-axis.

a.
Find the *x*-component
of vector R.

b.
Find the *y*-component
of vector R.

c.
If the *x*-component
of vector R is doubled and y-component remains the same, what is the resulting
magnitude and direction of the new vector Q?

**3. **
A student walks 30 meters east followed by 20 meters north followed
by 50 meters west.

a. Use vector arrows to sketch the path that the student followed:

b. What is the total distance traveled by the student?

c. What is the student’s displacement?

4.
Vectors **A**, **B**, and **C** are defined below:

**A** = 30 meters at
0 ̊

**B** = 10 meters at
270 ̊

**C** = 15 meters at 60
̊

Vector **D** is the
sum of all the vectors such that **D** =
**A**+**B**+**C**.

a. What are the x and y components of vector D?

b. What is the magnitude and direction of vector D?