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?

<p>Because it is always directed towards Earth's center and has a negative value in the equations (C)</p> Signup and view all the answers

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

<p>The signs of the velocity v and the distance y are different (B)</p> Signup and view all the answers

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

<p>Final velocity (C)</p> 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?

<p>7.3 m (C)</p> Signup and view all the answers

Which physical quantity is an example of a scalar?

<p>Temperature (A)</p> Signup and view all the answers

What is the method called for adding vectors geometrically?

<p>Tail-to-head method (A)</p> Signup and view all the answers

How are vectors represented graphically?

<p>As arrows (D)</p> 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?

<p>AB + BC (C)</p> Signup and view all the answers

What is the representation of vectors graphically?

<p>Arrows (A)</p> Signup and view all the answers

Which method can be used to add vectors?

<p>Geometrically (B)</p> Signup and view all the answers

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

<p>$s = a + b$ (B)</p> Signup and view all the answers

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

<p>Scalar (B)</p> Signup and view all the answers

What is the correct method of adding vectors geometrically?

<p>Adding vectors head-to-tail (A)</p> Signup and view all the answers

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

<p>Additive inverse property (A)</p> Signup and view all the answers

How do you convert a vector to its components?

<p>Use sine and cosine functions with the vector's angle (A)</p> 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?

<p>$10\sin(30°)$ and $10\cos(30°)$ (D)</p> 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?

<p>$\sqrt{125}$ and 26.6° (D)</p> 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.

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