Which of the following are vector quantities?a)Linear accelerationb)Linear velocityc)Linear displacementd)All of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Vector Quantities:

Linear acceleration, linear velocity, and linear displacement are all examples of vector quantities in physics.

Linear Acceleration:
- Linear acceleration is a vector quantity because it has both magnitude and direction. It represents the rate of change of velocity with respect to time in a straight line.
- It is denoted by a vector symbol (like a with an arrow on top) and has units of m/s^2.

Linear Velocity:
- Linear velocity is a vector quantity that describes the rate of change of an object's position with respect to time in a straight line.
- It has both magnitude and direction, making it a vector quantity.
- Linear velocity is denoted by a vector symbol (like v with an arrow on top) and has units of m/s.

Linear Displacement:
- Linear displacement is a vector quantity that represents the change in position of an object from its initial point to its final point in a straight line.
- It has both magnitude (distance) and direction, which makes it a vector quantity.
- Linear displacement is denoted by a vector symbol (like s with an arrow on top) and has units of meters (m).

All of these:
- Therefore, all three quantities - linear acceleration, linear velocity, and linear displacement - are vector quantities because they involve both magnitude and direction in their measurements.

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