A student drove to the university from her home and noted...

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 18.0 min. (a) What was her average speed? (b) If the straight-line distance from her home to the university is 10.3 km in a direction $25.0^{\circ}$ south of east, what was her average velocity? (c) If she returned home by the same path 7 h 30 min after she left, what were her average speed and velocity for the entire trip?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Average Speed

Average speed is a scalar quantity defined as the total distance traveled divided by the total time taken. It does not consider the direction of travel and is useful for determining how fast an object is moving overall during its journey.

Average Velocity

Average velocity is a vector quantity that is calculated by dividing the displacement, which is the shortest straight-line distance between the starting and ending points, by the total time taken. It incorporates both magnitude and direction, providing a sense of how quickly and in which direction the object’s position changes over time.

Displacement

Displacement refers to the change in position of an object from its initial to its final point. Unlike distance, which is the path length traveled, displacement is concerned only with the net change in position and has both magnitude and direction.

Vector Representation

In the context of problems involving average velocity, it is often necessary to represent the displacement as a vector. This involves breaking down the displacement into its component parts using trigonometric functions based on the given angle, which facilitates the analysis and calculation of vector quantities.

Transcript

Please give Ace some feedback