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Vector Components (Trig)

Total questions: 11

Worksheet time: 27mins

Name
Class
Date
1.

Dana throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal. Find the initial vertical and horizontal velocity of the ball.

a)

Horizontal 18.9

Vertical 7.2

b)

Horizontal 7.2

Vertical 18.9

c)

Horizontal 15.2

Vertical 9.6

d)

Horizontal 9.6

Vertical 15.2

2.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
3.
What is the height of the tree? Round the the nearest foot. 
a)
38 ft
b)
63 ft
c)
20 ft
d)
98 ft
4.

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers (remember, i = xhat, j = yhat, k = zhat

a)

a + b = 3i + 8j

b)

a - b = i + 8j

c)

a + c = -i + 4j

d)

c - b = -5i + 6j

5.

Vector a = 2i + 3j - 5k. What is the value of 3a?

a)

3i + 3j - 3k

b)

5i + 6j - 8k

c)

6i + 9j -15k

d)

6i + 6j - 15k

6.
A car moved 60 km East and 90 km West. What is the displacement and the direction?
a)
30 km, West
b)
60 km. East
c)
90 km
d)
150 km
7.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
8.
What is the value of d? Round to the nearest tenth of a meter. 
a)
18.9 m
b)
19.5 m
c)
47 m
d)
27.5 m
9.

You hit a wall with a stick. The Newton's third law force that completes this pair is _____

a)

the wall pushing against you

b)

the stick pushing against you

c)

you pushing against the stick

d)

the wall pushing against the stick

10.

Newton's first law says that if an object has mass, it must also have ____

a)

weight

b)

velocity

c)

inertia

d)

energy

11.
Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object).
a)
Newton's 1st Law
b)
Newton's 2nd Law
c)
Newton's 3rd Law
d)
None of them