Free-Fall Acceleration and Equations of Motion

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Questions and Answers

What is the magnitude of the free-fall acceleration?

It depends on the mass of the object

0 m/s^2

-9.8 m/s^2

9.8 m/s^2 (correct)

What is the direction of the free-fall acceleration?

Upward

It varies depending on the location

Horizontal

Downward (correct)

How does the direction of motion change when dealing with free-falling motion?

The direction of motion does not change

The motion is along a horizontal axis

The motion remains along the x-axis

The motion is along a vertical y-axis with upward as positive direction (correct)

Why is the free-fall acceleration always negative?

Because it is always directed towards Earth's center and has a negative value in the equations Signup and view all the answers

What is the key difference between falling upward and falling downward?

The signs of the velocity v and the distance y are different Signup and view all the answers

In the equation 𝑣 = 𝑣𝑜 − g𝑡, what does 𝑣 represent?

Final velocity Signup and view all the answers

What is the maximum height reached by the ball thrown up with an initial speed of 12 m/s?

7.3 m Signup and view all the answers

Which physical quantity is an example of a scalar?

Temperature Signup and view all the answers

What is the method called for adding vectors geometrically?

Tail-to-head method Signup and view all the answers

How are vectors represented graphically?

As arrows Signup and view all the answers

When adding vectors geometrically, the vector sum (or resultant) of the vectors AB and BC is represented by which of the following?

AB + BC Signup and view all the answers

What is the representation of vectors graphically?

Arrows Signup and view all the answers

Which method can be used to add vectors?

Geometrically Signup and view all the answers

What is the correct representation of the vector equation for adding vectors?

$s = a + b$ Signup and view all the answers

Which type of physical quantity has only magnitude and no direction?

Scalar Signup and view all the answers

What is the correct method of adding vectors geometrically?

Adding vectors head-to-tail Signup and view all the answers

Which property describes the effect of adding a vector with the same magnitude but opposite direction?

Additive inverse property Signup and view all the answers

How do you convert a vector to its components?

Use sine and cosine functions with the vector's angle Signup and view all the answers

What are the x-axis and y-axis components of a vector with a magnitude of 10 and making an angle of 30° with the positive x-axis?

$10\sin(30°)$ and $10\cos(30°)$ Signup and view all the answers

In Example 2, what is the correct magnitude and direction of vector C with components Cx = 10 and Cy = 5?

$\sqrt{125}$ and 26.6° Signup and view all the answers

Study Notes

Free-Fall Motion

The magnitude of the free-fall acceleration is 9.8 m/s² (on Earth).
The direction of the free-fall acceleration is downward, towards the center of the Earth.
The direction of motion changes when dealing with free-falling motion, as the object's velocity changes from upward to downward.
The free-fall acceleration is always negative because it's directed downward.

Motion Equations

In the equation 𝑣 = 𝑣𝑜 − g𝑡, 𝑣 represents the final velocity of an object.
The maximum height reached by a ball thrown up with an initial speed of 12 m/s can be calculated using the equation.

Scalars and Vectors

A scalar is a physical quantity with only magnitude and no direction, such as temperature.
Vectors are represented graphically as arrows, with both magnitude and direction.
The method of adding vectors geometrically is called the head-to-tail method.
The vector sum (or resultant) of the vectors AB and BC is represented by the diagonal of the parallelogram formed by the two vectors.

Vector Operations

Vectors can be added geometrically using the head-to-tail method.
The correct representation of the vector equation for adding vectors is R = A + B.
When a vector with the same magnitude but opposite direction is added, it results in a zero vector, which is known as the inverse property.

Vector Components

To convert a vector to its components, the vector is resolved into its x-axis and y-axis components.
The x-axis and y-axis components of a vector with a magnitude of 10 and making an angle of 30° with the positive x-axis can be calculated using trigonometry.
In Example 2, the correct magnitude and direction of vector C with components Cx = 10 and Cy = 5 can be calculated using the Pythagorean theorem.

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Description

Learn about free-fall acceleration and how it affects the motion of objects. Understand the constant rate of free-fall acceleration and how to apply the equations of motion in vertical motion scenarios.