Vector Basics
Vector Basics 2
Vector Basics 3
Previous Units
Vocabulary
100
Which of these is a vector? a) temperature b) Pressure c) mass d) speed e) force
Force
100
A flight instructor makes the following statement. "The aircraft's velocity vector can change direction through the use of the controls that move the ailerons on the wings, the rudder on the tail, or both." What is the flight instructor telling you?
How to turn the plane.
100
A car travels on a straight road with velocity components of 20 m/s west and 60 m/s south. What is the total distance the car travels in 10 s?
630 m
100
Thomas starts at the position (-2, -2) m in the x-y plane and undergoes the following displacements: d1 = (-2,0) m, d2 = (2,2) m, and d3 = (1,-3) m. What is Thomas's final position?
(-1,-3)m
100
________ is the ratio of the adjacent side over the hypotenuse.
Cosine
200
A force of 90 N has a x-component of 32 N. What is the y-component?
84 N
200
What is the change in velocity of a sailboat that experiences an acceleration of (4.0, -7.0) m/s2 over a time frame of 5.0 s?
(20, -35) m/s
200
Convert the velocity vector (4.0, 2.0) m/s into polar coordinates.
4.5 m/s at 27 degrees
200
The ErgoBot begins at the origin (0, 0) and then moves with the following displacements: (0.3, -0.7) m (0.7, 0.2) m (-0.5, 0) m What is its final position?
(0.5,-0.5)m
200
The process of breaking a force down into its components is called ___________.
Resolution of Forces (vectors)
300
Two forces pull on a block. One pulls with a force of 300 N at an angle of 30° above the (positive) x-axis, while the other pulls with a force of 800 N at an angle of 80° below the (positive) x-axis. What is their resultant force on the sleigh?
750 N
300
You and your friends are navigating through a corn maze. Your path is described by the displacement vectors: (0, 40) m (10, 0) m (0, -40) m (-60, 0) m (0, 30) m What is your resultant displacement?
(-50, 30)m
300
A wagon, initially traveling at a constant 3.5 m/s, starts going down a hill that creates an acceleration of 3.3 m/s2. What is the wagon's velocity 1.5 s after it starts accelerating down the hill?
8.5 m/s
300
Clio gets into an elevator and travels 30 m straight up in a time of 5 seconds. She then travels the opposite direction, straight down, for 38 m in a time of 29 seconds. What is her average speed over the 34 second period?
2 m/s
300
The ________ is the single vector that is the sum of two or more vectors.
resultant
400
Vector 1 points from the origin to (0.0, 4.0) and Vector 2 points from the origin to (6.0, 0.0). What is the magnitude of the resultant which is the sum of vector 1 + vector 2?
7.2
400
A hot air ballon is moving northeast with a velocity vector of (5.0, 5.0) m/s. A wind starts up and creates an acceleration of (-0.2, 0.0) m/s2 to the west. What is the balloon's velocity vector 7.0 s after the wind starts?
(3.6, 5.0) m/s
400
convert 55 m/s into mph?
121 mph
400
The branch of science in which you learn about the the structure of matter and how matter changes from one form to another is called
Chemstry
400
A force that is described as 50 N at 30° is an example of a vector in ________.
polar coordinates
500
If a force of 56 N applied at an angle of 46° above the horizontal. What are the horizontal (x) and vertical (y) components of this force?
X = 39 N Y = 40 N
500
Marie paddles a canoe due north at a speed of 6.0 m/s in a river that flows due west at a speed of 3.0 m/s. What angle does the canoe travel relative to north?
27 degrees west of north
500
Show 0.00447 kg in scientific notation using the correct number of significant digits?
4.47 x 10^-3 kg
500
What are the steps of the scientific method?
Observe, Hypothesize, Experiment, Conclusions
500
A change from one position vector to another is called a/an _________.
displacement
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