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.
Want to see more full solutions like this?
Chapter 3 Solutions
Physics (5th Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The Cosmic Perspective
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
The Cosmic Perspective (8th Edition)
Conceptual Physical Science (6th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
- Two runners start at the same point on a straight track. The first runs with a constant acceleration so that he could run 100 yards in 10 seconds. The second runner waits 5 seconds and then throws a rock at his opponent's head. If the head is 5 feet from the ground and the rock starts 5 feet from the ground, what must the initial velocity vector be if the rock is to meet the head just at the 100 yard tape?arrow_forwardGive an example in which there are clear distinctions among distance travelled, displacement and magnitude of displacementarrow_forwardYou take your dog on a walk to a nearby park. On the way, yourdog takes many short side trips to chase squirrels, examine fire hydrants, and so on. When you arrive at the park, do you and yourdog have the same displacement from home? Have you and yourdog traveled the same distance? Explainarrow_forward
- Can you please solve it without Kinematic motion formula, and by just using vectors? Thanksarrow_forwardFor the rest of this problem, assume that 0.3=α and 0.2−=β (each with appropriate SI units). b) Calculate my velocity vector at (i) t = 0 seconds, and (ii) t = 2.0 seconds c) Calculate my average acceleration for the interval from t = 0 to 2.0 secondsarrow_forwardA tennis ball is thrown so that its initial vertical and horizontal components of velocity at 40 m/s and 20 m/s, respectively. Use a motion diagram to estimate the ball’s total time of flight and the distance it traverse before hitting the ground:?arrow_forward
- Speed is the magnitude of the velocity. When we say speed is constant, we mean that the magnitude of the velocity is constant. If the speed of a particle is constant can we say that it doesn't experience any acceleration?arrow_forwardA person walks 8 miles east and then walks 8 miles west from that point? What distance did he walk, and what was his displacement?arrow_forwardWhat are the magnitude and direction of the total displacement for a treasure hunt where you need to go 6 paces east and 3 paces north? Assume that each pace is 0.500 m in length. Let east be the positive x direction and north be the positive y direction.arrow_forward
- Which of the following statements is incorrect? Acceleration is a rate of change of velocity. Average velocity is the rate at which an object changes its position from one place to another. At constant velocity, the object is moving in a straight line with zero acceleration. At constant velocity, the object is moving in a straight line at a varying speed. The sum of two or more vectors is represented by a resultant vector, .arrow_forwardIf the scalar velocity of a particle moving on the x-axis is increasing, the particle's velocity and acceleration can be, respectively: A. negative and positive. B. negative and null. C. negative and negative. D. positive and negative. E. positive and null.arrow_forwardA football player runs from his own goal line to the opposing team's goal line, returning to his ten-yard line, all in 26.6 s. Calculate his average speed and the magnitude of his average velocity. (Enter your answers in yards/s.) (a) Calculate his average speed. yards/s (b) Calculate the magnitude of his average velocity. yards/sarrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning