For the following quantities, indicate which is a scalar and which is a vector: (a) the time it takes for you to run the 100-yard dash; (b) your displacement after running the 100-yard dash; (c) your average velocity while running; (d) your average speed while running.

Question

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Answer 1

Textbook Question

Chapter 3, Problem 1CQ

For the following quantities, indicate which is a scalar and which is a vector: (a) the time it takes for you to run the 100-yard dash; (b) your displacement after running the 100-yard dash; (c) your average velocity while running; (d) your average speed while running.

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

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01:51

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Answer 2

Textbook Question

Chapter 3, Problem 1CQ

For the following quantities, indicate which is a scalar and which is a vector: (a) the time it takes for you to run the 100-yard dash; (b) your displacement after running the 100-yard dash; (c) your average velocity while running; (d) your average speed while running.

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

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01:51

Answer 3

Textbook Question

Chapter 3, Problem 1CQ

For the following quantities, indicate which is a scalar and which is a vector: (a) the time it takes for you to run the 100-yard dash; (b) your displacement after running the 100-yard dash; (c) your average velocity while running; (d) your average speed while running.

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

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01:51

Answer 4

Textbook Question

Chapter 3, Problem 1CQ

For the following quantities, indicate which is a scalar and which is a vector: (a) the time it takes for you to run the 100-yard dash; (b) your displacement after running the 100-yard dash; (c) your average velocity while running; (d) your average speed while running.

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

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01:51

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

Answer 8

(a)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer 13

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Answer 14

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

For the given situation that the time it takes for a person to run the 100 yard dash. The quantity is scalar with regard to the situation because there is no direction.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

Answer 15

(b)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer 20

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Answer 21

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Displacement is the vector quantity which gives the distance from starting position to the end position. It depends upon the direction of the object.

For the given situation that a person displacement after running the 100 yard dash. The quantity is vector with regard to the situation because displacement of the person depends upon its direction.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

Answer 22

(c)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer 27

Answer to Problem 1CQ

The quantity is vector with regard to the situation.

Answer 28

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

The vector measurement of the rate and direction of motion of an object is given by velocity. Velocity is defined as the distance travelled by an object per unit time in a particular direction.

For the given situation that average velocity of a person while running. The quantity is vector with regard to the situation because average velocity of a person is a vector quantity.

Conclusion:

Therefore, the quantity is vector with regard to the situation.

Answer 29

(d)

Expert Solution

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

Whether the quantity is scalar or vector with regard to the situation.

Answer 34

Answer to Problem 1CQ

The quantity is scalar with regard to the situation.

Answer 35

Explanation of Solution

Scalar quantity is defined as the quantity which has only magnitude and no direction. On the other hand, vector quantity is defined as the quantity which has both magnitude and direction.

Speed refers to the rate at which an object covers distance. It is calculated by the displacement of space per unit time.

For the given situation that average speed of a person while running. The quantity is scalar with regard to the situation because average speed of a person is a scalar quantity.

Conclusion:

Therefore, the quantity is scalar with regard to the situation.