Question

putting it all together: motion
part 1 fill in the blank: read the paragraph below that summarizes the content we learned about motion so far. use
concept 1 and 2 notes to help you fill in each blank.
motion occurs anytime an object changes its 1.__. this is entirely dependent on the 2.__
point. motion can be measured by distance, displacement, 3.____, velocity, and acceleration.
velocity refers to an objects 4.____ and direction. acceleration refers to the rate of
change in an objects 5.____ over time. an object can be moving at a constant speed and still
accelerating if it is changing 6.__. when an object speeds up, it has a 7.__
acceleration. when an object slows down, it has a 8.____ acceleration. motion graphs can
be used to help us visualize an objects motion. on a distance vs. time graph, the slope of the line
equals the objects 9.____, whereas on a velocity vs. time graph, the slope of the line
equals the objects 10.____.
part 2 motion math: answer each of the following word problems. make sure to show all work!

1. a school bus leaves school and heads east for 2 miles before making its first stop. it then turns left and heads north 3

miles before making another stop. find the distance and displacement of the school bus after completing its first two
stops.

1. a supersonic jet flies 10 miles in 0.008 hours. how fast is the jet moving?
2. an ostrich can run at a speed of 43 mi/hr. how much ground can an ostrich cover if it runs at this speed for 15

minutes? (hint: 15 minutes = 0.25 hours)

Explanation:

1. Position: Motion is defined as a change in an object's position.
2. Reference: The determination of motion (whether an object has changed its position) depends on a reference point.
3. Speed: Motion can be measured using distance, displacement, speed (a scalar quantity that measures how fast an object is moving), velocity (a vector quantity that includes speed and direction), and acceleration.
4. Speed: Velocity is an object's speed and direction.
5. Velocity: Acceleration is the rate of change in an object's velocity over time.
6. Direction: An object moving at a constant speed can still be accelerating if it is changing direction.
7. Positive: When an object speeds up, it has a positive acceleration (assuming the direction of motion is considered the positive direction).
8. Negative: When an object slows down, it has a negative acceleration.
9. Speed: On a distance - vs - time graph, the slope of the line equals the object's speed (since slope \(m=\frac{\Delta y}{\Delta x}=\frac{\text{distance}}{\text{time}}\)).
10. Acceleration: On a velocity - vs - time graph, the slope of the line equals the object's acceleration (since slope \(m = \frac{\Delta y}{\Delta x}=\frac{\text{velocity}}{\text{time}}\)).

Answer:

1. Position
2. Reference
3. Speed
4. Speed
5. Velocity
6. Direction
7. Positive
8. Negative
9. Speed
10. Acceleration