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Physics Classroom: Relative Velocity and Riverboat Problems
Assigned thru EdPuzzle and Google Classroom
OpenStax -
Two Dimensional Motion and Vectors - Background
AP SKILLS and OBJECTIVES:
Skills:
Create qualitative sketches of graphs that represent features of a model or the behavior of a physical system.
Derive a symbolic expression from known quantities by selecting and following a logical mathematical pathway.
Calculate or estimate an unknown quantity with units from known quantities, by selecting and following a logical computational pathway.
Justify or support a claim using evidence from experimental data, physical representations, or physical principles or laws.
Describe the reference frame of a given observer.
The choice of reference frame will determine the direction and magnitude of quantities measured by an observer in that reference frame.
Describe the motion of objects as measured by observers in different inertial reference frames.
Measurements from a given reference frame may be converted to measurements from another reference frame.
The observed velocity of an object results from the combination of the object’s velocity and the velocity of the observer’s reference frame.
Combining the motion of an object and the motion of an observer in a given reference frame involves the addition or subtraction of vectors.
The acceleration of any object is the same as measured from all inertial reference frames.
Questions to Consider:
Questions to Consider:
What frame or frames of reference do you use instinctively when driving a car? When flying in a commercial jet?
If someone is riding in the back of a pickup truck and throws a softball straight backward, is it possible for the ball to fall straight down as viewed by a person standing at the side of the road? Under what condition would this occur? How would the motion of the ball appear to the person who threw it?
A boat heads north in still water at 4.5 m/s directly across a river that is running east at 3.0 m/s. What is the velocity of the boat with respect to Earth?
When constructing the vector equation, the subscripts for the coupling reference frame appear consecutively on the inside. The subscripts on the left-hand side of the equation are the same as the two outside subscripts on the right-hand side of the equation.
1-D Relative Motion
1-D Relative Motion
In the simulation above, determine the velocity of each boat in relation to the lamp post. Then determine the velocity of the boats relative to one another.
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