Concept explainers
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)
Answer to Problem 1CQ
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
Conclusion:
Therefore, the quantity is scalar with regard to the situation.
(b)
Answer to Problem 1CQ
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
Conclusion:
Therefore, the quantity is vector with regard to the situation.
(c)
Answer to Problem 1CQ
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)
Answer to Problem 1CQ
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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