Choose the correct option:a)distance is a scalar, velocity is a vector , acceleration is a vector.b)distance is a vector, velocity is a scalar, acceleration is a vector.c)distance is a vector, velocity is a vector, acceleration is a vector.d)distance is a scalar, velocity is a vector, acceleration is a scalar.Correct answer is 'A'. Can you explain this answer?

Question

Answer

Yaa option 1 is right because distance has only magnitude but no direction so it is a scalar...velocity and acceleration r vectors r vectors because displacement is a vector as displacement has both magnitude nd direction hope u got it

Answer

Scalar quantities does not require direction to deserve, only magnitude is important. distance does not require direction to Speficy, therefore it is scalar, quantity.

vector quantities require direction to speficy.
Displacement is a vector quantity
Velocity=displacement/time
acceleration=final velocity-initial velocity/time

to calculate acceleration and velocity displacement is required, as displacement is vector quantity, therefore, velocity and acceleration are vector quantities

Answer

Distance, Velocity, and Acceleration

Introduction:
In physics, distance, velocity, and acceleration are fundamental concepts used to describe the motion of objects. Understanding the differences between these quantities is essential in analyzing various physical phenomena accurately.

Definitions:
Before delving into the options, let's define distance, velocity, and acceleration:

- Distance: Distance refers to the total length traveled by an object, regardless of its direction. It is a scalar quantity and is always positive.

- Velocity: Velocity is the rate of change of displacement of an object with respect to time. It is a vector quantity that includes both magnitude (speed) and direction.

- Acceleration: Acceleration is the rate of change of velocity of an object with respect to time. Like velocity, it is also a vector quantity and includes both magnitude and direction.

Explanation of Options:

Option a) Distance is a scalar, velocity is a vector, acceleration is a vector.
- This option is correct because it accurately describes the nature of distance, velocity, and acceleration. Distance is a scalar quantity as it only considers magnitude without direction. Velocity and acceleration, on the other hand, are vector quantities as they include both magnitude and direction.

Option b) Distance is a vector, velocity is a scalar, acceleration is a vector.
- This option is incorrect. Distance is a scalar quantity; it does not have a direction associated with it. Velocity is a vector quantity as it includes both magnitude and direction. Acceleration is also a vector quantity.

Option c) Distance is a vector, velocity is a vector, acceleration is a vector.
- This option is incorrect. Distance is a scalar quantity, not a vector quantity. Velocity and acceleration are vector quantities as they have both magnitude and direction.

Option d) Distance is a scalar, velocity is a vector, acceleration is a scalar.
- This option is incorrect. Distance is a scalar quantity, not a vector quantity. Velocity and acceleration are both vector quantities as they include both magnitude and direction.

Conclusion:
From the given options, option a) is the correct answer. Distance is a scalar, velocity is a vector, and acceleration is a vector. Understanding the nature of these quantities is crucial in accurately analyzing and describing the motion of objects.

Answer

Because distance have only magnitude whereas velocity and acceleration have magnitude as well as direction

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