(a)] How is the average speed of an object speed and velocity? Explain any symbols that you use. (b) pos] Give an example of a situation in which the average speed of an object is greater in than the magnitude of its average velocity. (c) [pos] The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. Velocity in miles per hour 30 25 20 15 10 5 0 and 10 20 30 * 40 Time (seconds) 50 60 70 80 90 100 Give both the magnitude and sign of each of your numerical answers. (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83-89 s? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. ii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the roph?

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Chapter2: Kinematics
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1. QUE) Motion in one dimension
(a)ims] How is the average speed of an object defined and what is the difference between
speed and velocity? Explain any symbols that you use.
(b) Expos] Give an example of a situation in which the average speed of an object is greater in
than the magnitude of its average velocity.
(c) [pos] The "2" subway train
from Manhattan to Flatbush Avenue is
approaching the final station (Flatbush
Avenue) but has stopped on the tracks
somewhere outside of Flatbush
Avenue. The graph shows the train's
velocity as a function of time, from the
point just after it begins to move again,
up to the point at which it comes to rest
at the Flatbush Avenue station. The
positive direction of velocity and
displacement is from Manhattan to
Flatbush Avenue along the track.
Velocity in miles per hour
30
25
0
0
10
20
30
40
Time (seconds)
50
60
70
90
Give both the magnitude and sign of each of your numerical answers.
(i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83-89 s?
(ii) What is the total displacement of the train from its position at time = zero seconds on the graph?
Give your answer in meters, using the conversion 1609 meters = 1 mile.
(iii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the
graph?
1
Transcribed Image Text:1. QUE) Motion in one dimension (a)ims] How is the average speed of an object defined and what is the difference between speed and velocity? Explain any symbols that you use. (b) Expos] Give an example of a situation in which the average speed of an object is greater in than the magnitude of its average velocity. (c) [pos] The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. Velocity in miles per hour 30 25 0 0 10 20 30 40 Time (seconds) 50 60 70 90 Give both the magnitude and sign of each of your numerical answers. (i) What is the train's acceleration from 0 to 10 seconds? And what is its acceleration from 83-89 s? (ii) What is the total displacement of the train from its position at time = zero seconds on the graph? Give your answer in meters, using the conversion 1609 meters = 1 mile. (iii) What is the average velocity (in m/s) of the train over the whole 89-second journey in the graph? 1
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