Podcast
Questions and Answers
What does the slope of a velocity-time graph represent?
What does the slope of a velocity-time graph represent?
Which of the following is NOT a vector quantity?
Which of the following is NOT a vector quantity?
Which of the following methods can be used to add vectors?
Which of the following methods can be used to add vectors?
What is the result of the cross product of two vectors?
What is the result of the cross product of two vectors?
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Splitting of vectors into two components along any two perpendicular axes is called...
Splitting of vectors into two components along any two perpendicular axes is called...
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What is the SI unit for acceleration?
What is the SI unit for acceleration?
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What is the average speed of a car that travels 120 km in 2 hours?
What is the average speed of a car that travels 120 km in 2 hours?
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Which of the following quantities is a vector?
Which of the following quantities is a vector?
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What is the horizontal component of a projectile launched at an angle of 30 degrees with an initial velocity of 10 m/s?
What is the horizontal component of a projectile launched at an angle of 30 degrees with an initial velocity of 10 m/s?
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What does the slope of a position-time graph represent?
What does the slope of a position-time graph represent?
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What is the maximum height reached by a projectile launched with an initial velocity of 30 m/s at an angle of 60 degrees?
What is the maximum height reached by a projectile launched with an initial velocity of 30 m/s at an angle of 60 degrees?
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If two vectors A and B are parallel, what is their cross product?
If two vectors A and B are parallel, what is their cross product?
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How long does it take for a ball to hit the ground if dropped from a height of 100 meters (using $g = 10 m/s²$)?
How long does it take for a ball to hit the ground if dropped from a height of 100 meters (using $g = 10 m/s²$)?
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Which statement correctly describes scalar quantities?
Which statement correctly describes scalar quantities?
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What is the minimum possible magnitude of the resultant of two vectors with magnitudes 5 units and 3 units?
What is the minimum possible magnitude of the resultant of two vectors with magnitudes 5 units and 3 units?
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What is the acceleration of a 5 kg object acted upon by a net force of 20 N?
What is the acceleration of a 5 kg object acted upon by a net force of 20 N?
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How is displacement different from distance?
How is displacement different from distance?
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What is the displacement vector in component form for a person walking 2 km north, 3 km east, and 1 km south?
What is the displacement vector in component form for a person walking 2 km north, 3 km east, and 1 km south?
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If two vectors A and B have magnitudes of 5 and 12 units and an angle of 60 degrees between them, what is the magnitude of their resultant?
If two vectors A and B have magnitudes of 5 and 12 units and an angle of 60 degrees between them, what is the magnitude of their resultant?
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What is the average velocity of an object moving from position x = 2 m to x = -3 m in 5 seconds?
What is the average velocity of an object moving from position x = 2 m to x = -3 m in 5 seconds?
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How far does a car travel if it accelerates uniformly from rest to 25 m/s in 10 seconds?
How far does a car travel if it accelerates uniformly from rest to 25 m/s in 10 seconds?
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What determines the direction of the resultant of two vectors when added graphically?
What determines the direction of the resultant of two vectors when added graphically?
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Under what conditions are the kinematic equations valid?
Under what conditions are the kinematic equations valid?
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Study Notes
Matching (1)
- Velocity matches with $i)$ $m/s$
- Acceleration matches with $iii)$ $m/s^2$
- Force matches with $iv)$ $N$
- Mass matches with $ii)$ $kg$
Fill in the Blank (2)
- A vector has both magnitude and direction
- To subtract a vector, you can add its negative
- The cross product of two parallel vectors is always zero
- The slope of a position-time graph represents velocity
Short Answer (8)
- List and define types of physical quantity depending on direction and give two examples in each.
- Scalar quantities have only magnitude (e.g., mass, speed, distance).
- Vector quantities have both magnitude and direction (e.g., force, velocity, displacement).
- If vector A has a magnitude of 5 units and vector B has a magnitude of 3 units, what is the maximum and minimum possible magnitude of their resultant?
- Maximum: 8 units (when vectors point in the same direction).
- Minimum: 2 units (when vectors point in opposite directions).
- Define acceleration and give its SI unit.
- Acceleration is the rate of change of velocity. SI unit: $m/s^2$.
- Why is it important to define a reference frame when describing motion?
- A reference frame provides a coordinate system for defining the position and motion of objects.
- A car is traveling at a constant speed of 60 km/h. Does it have a constant velocity? Explain.
- No, constant speed does not imply constant velocity. Constant velocity requires both constant magnitude and direction of velocity, which may not be present with constant speed. For example, a car driving around a curve has constant speed but changing velocity.
- Explain the difference between distance and displacement.
- How can you determine the direction and the resultant of two vectors graphically?
- What are the kinematic equations, and under what conditions are they valid?
- The kinematic equations describe the motion of objects with constant acceleration. They are valid when the acceleration is constant.
Work out (24)
- A person walks 5 meters east and then 3 meters west. What is their total distance traveled? What is their displacement?
- Total distance: 8 meters
- Displacement: 2 meters East
- An object moves from position $x = 2$ m to $x = -3$ m in 5 seconds. What is its average velocity?
- Average velocity: -1 m/s
- If $\vec{A} = 2\vec{i} + 4\vec{j} + 7\vec{k}$ and $\vec{B} = 3\vec{i} + 4\vec{j} + 7\vec{k}$. Find the resultant and its magnitude of the two vectors.
-Resultant: $5 \vec{i} + 8\vec{j} + 14\vec{k}$
- Magnitude: $\sqrt{5^2 + 8^2 + 14^2} = \sqrt{25+64+196} = \sqrt{285}$
- If $\vec{A} = 4\vec{i} - 4\vec{j}$, $\vec{B} = 3\vec{i} + 7\vec{j}$ and $\vec{c} = 11\vec{i} - 4\vec{j}$. Find the values of a, b & c such that $a\vec{A} + b\vec{B} + c\vec{c} = \vec{0}$.
- $a = 1, b = -2, c = 1$
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Description
Test your understanding of vectors and their applications in physics with this quiz. Explore concepts such as slope in velocity-time graphs and vector addition methods. Perfect for students looking to reinforce their knowledge in motion and vectors.
