1. The position versus time graph at right represents the motion of an object moving in a straight line. a. Describe the motion. During which periods of time, if any, is the velocity constant? Explain how you can tell. b. Find the object's instantaneous velocity at each of the following times. Show your work. i. r=0.5 s Position (centimeters) 10 ii. 1=2.0 s TB I 2 3 3 4 Time (seconds) How does the method you used to answer parts i-iii rely on your answer to part a? D iii. 1-4.0 s c. For each of the following intervals, find the average velocity of the object. i. between A and C ii. between A and D 5 iii. between B and D On the graph above, sketch and label the lines that would represent an object moving with constant velocity between each of the pairs of points in parts i-iii. 6 For each line that you drew, how does the slope compare to the average velocity that you computed above? d. In which of the cases from part c, if any, is the average velocity over an interval equal to the average of the constant velocities occurring in that interval? [For example, is 5c (the average velocity from A to C) equal to / +)?]

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Chapter1: Units, Trigonometry. And Vectors
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1. The position versus time graph at right
represents the motion of an object
moving in a straight line.
a. Describe the motion.
During which periods of time, if
any, is the velocity constant?
Explain how you can tell.
b. Find the object's instantaneous
velocity at each of the following
times. Show your work.
i. r=0.5 s
Position (centimeters)
10
ii. 1=2.0 s
TB
I
2
3
3 4
Time (seconds)
How does the method you used to answer parts i-iii rely on your answer to part a?
D
iii. 1-4.0 s
c. For each of the following intervals, find the average velocity of the object.
i. between A and C
ii. between A and D
5
iii. between B and D
On the graph above, sketch and label the lines that would represent an object moving with
constant velocity between each of the pairs of points in parts i-iii.
6
For each line that you drew, how does the slope compare to the average velocity that you
computed above?
d. In which of the cases from part c, if any, is the average velocity over an interval equal to the
average of the constant velocities occurring in that interval? [For example, is 5c (the average
velocity from A to C) equal to / +)?]
Transcribed Image Text:1. The position versus time graph at right represents the motion of an object moving in a straight line. a. Describe the motion. During which periods of time, if any, is the velocity constant? Explain how you can tell. b. Find the object's instantaneous velocity at each of the following times. Show your work. i. r=0.5 s Position (centimeters) 10 ii. 1=2.0 s TB I 2 3 3 4 Time (seconds) How does the method you used to answer parts i-iii rely on your answer to part a? D iii. 1-4.0 s c. For each of the following intervals, find the average velocity of the object. i. between A and C ii. between A and D 5 iii. between B and D On the graph above, sketch and label the lines that would represent an object moving with constant velocity between each of the pairs of points in parts i-iii. 6 For each line that you drew, how does the slope compare to the average velocity that you computed above? d. In which of the cases from part c, if any, is the average velocity over an interval equal to the average of the constant velocities occurring in that interval? [For example, is 5c (the average velocity from A to C) equal to / +)?]
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