Untitled lesson

Multiple Choice

Which of the following best describes the independence of horizontal and vertical motions in projectile motion?

• They affect each other directly at all times.

• Horizontal motion is constant while vertical motion is affected by gravity.

• Both motions are always constant and unaffected by gravity.

• Vertical motion is constant while horizontal motion is affected by gravity.

Open Ended

Why is it important to understand both the horizontal and vertical components of a vector when studying projectile motion?

Multiple Choice

Which of the following best describes a vector quantity?

• A quantity that has only magnitude

• A quantity that has only direction

• A quantity that has both magnitude and direction

• A quantity that has neither magnitude nor direction

Multiple Select

Which of the following are examples of vector components as indicated in the image?

• North and South

• East and North

• Upward and Rightward

• Magnitude and Speed

Fill in the Blanks

Fill in the blank: The two parts of a vector directed at angles to the coordinate axes are called vector

.

Open Ended

Explain how a vector drawn at an angle can be represented in terms of its components.

Open Ended

Why are vector components important when analyzing the motion of a riverboat crossing a river?

Multiple Choice

Which components of the tension forces are responsible for balancing the downward force of gravity in the hanging picture example?

• The horizontal components

• The upward components

• The downward components

• The westward components

Multiple Choice

What is a vector component, and how is it related to projections on the x- or y-axis?

• A vector component is the projection of a vector onto the x- or y-axis.

• A vector component is the length of the vector.

• A vector component is the direction of the vector.

• A vector component is the midpoint of the vector.

Multiple Choice

Which quadrant would a vector pointing northeast have its components in?

• North and West Components

• North and East Components

• South and West Components

• South and East Components

Open Ended

What are vector components?

Multiple Choice

Given the vectors 12 m East, 9 m North, 16 m West, 12 m North, 6 m West, and 8 m South, what is the resultant vector's direction and magnitude?

• 10 m West, 13 m North

• 13 m West, 10 m North

• 16 m East, 8 m South

• 12 m North, 6 m West

Multiple Select

Which of the following steps are necessary to add non-perpendicular vectors analytically?

• Resolve each vector into x- and y-components

• Add all x-components together

• Add all y-components together

• Multiply the magnitudes of the vectors

Fill in the Blanks

Fill in the blank: To add non-perpendicular vectors, you must first resolve them into

and y-components.

Open Ended

What is the significance of resolving a vector into its components when solving vector addition problems?

Fill in the Blanks

The direction of a vector is described by the

angle of rotation it makes with East.

Multiple Choice

Which trigonometric function would you use to find the x-component of a vector given its magnitude and the angle from the east direction?

• Sine

• Cosine

• Tangent

• Secant

Multiple Choice

Given vectors A (+20 m, +30 m), B (-10 m, -20 m), and C (+20 m, +10 m), what is the magnitude of the resultant vector?

• 30 m

• 20 m

• 36 m

• 40 m

Multiple Select

Which of the following are steps in the analytical method for adding vectors?

• Sketch a vector addition diagram

• Use the Pythagorean theorem to determine the resultant

• Multiply all vector magnitudes

• Use a trigonometric function to determine the direction

Open Ended

Explain how the analytical method is used to determine the resultant of multiple vectors.

Fill in the Blanks

The y-component of vector B (4.20 km, 270.0°) is

km.

Open Ended

Explain the process of breaking a vector into its x- and y-components and why this is useful for vector addition.

Multiple Choice

Which direction does the resultant vector R point, relative to East, after adding the given vectors?

• 260.3° CCW from East

• 90° CCW from East

• 180° CCW from East

• 210.0° CCW from East

Multiple Choice

What is the resultant magnitude of the three vectors A (4.50 km, 20.0°), B (4.20 km, 270.0°), and C (6.00 km, 210.0°) when added analytically?

• 5.74 km

• 4.20 km

• 6.00 km

• 8.00 km

Multiple Select

Which of the following are advantages of using the component method for vector addition?

• It allows for the addition of non-perpendicular vectors.

• It simplifies calculations by using algebraic methods.

• It only works for perpendicular vectors.

• It helps to find both magnitude and direction of the resultant vector.

Open Ended

How do you use the analytical method of vector addition to add non-perpendicular vectors?

Open Ended

A rock rolls at 3.0 m/s off a 1.5 m high table. Where does it land?

Open Ended

How can we break one motion into two parts, and how does this help us predict a projectile’s path?