It is not very realistic to assume a car simply starts from rest with constant acceleration. Let's try a (slightly) more realistic model. A car starts from rest and the driver presses on the gas and the car's acceleration increases linearly for 3 seconds until it reaches about 3.6 m/s^2, at which point it stays constant for another 4 seconds. At this point the driver pulls back off the gas and acceleration decreases linearly for 3 seconds until it is zero again. At this point the car moves with constant velocity. a) How fast is the car going at the when the driver pulls back on the gas? Answer in m/s and miles/hour. b) How fast is the car going when it starts moving at constant velocity? Answer in m/s and miles/hour. c) Compare with your own experiences driving, and/or do a little Internet research. Does this seem reasonable? Excessively fast? Excessively slow? Cite anything you look up. d) Sketch graphs for acceleration, velocity and position as functions of time.

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Chapter1: Units, Trigonometry. And Vectors
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Physics
It is not very realistic to assume a car simply starts
from rest with constant acceleration. Let's try a
(slightly) more realistic model. A car starts from rest
and the driver presses on the gas and the car's
acceleration increases linearly for 3 seconds until it
reaches about 3.6 m/s^2, at which point it stays
constant for another 4 seconds. At this point the
driver pulls back off the gas and acceleration
decreases linearly for 3 seconds until it is zero
again. At this point the car moves with constant
velocity. a) How fast is the car going at the when
the driver pulls back on the gas? Answer in m/s
and miles/hour. b) How fast is the car going when
it starts moving at constant velocity? Answer in m/s
and miles/hour. c) Compare with your own
experiences driving, and/or do a little Internet
research. Does this seem reasonable? Excessively
fast? Excessively slow? Cite anything you look up.
d) Sketch graphs for acceleration, velocity and
position as functions of time.
Transcribed Image Text:Physics It is not very realistic to assume a car simply starts from rest with constant acceleration. Let's try a (slightly) more realistic model. A car starts from rest and the driver presses on the gas and the car's acceleration increases linearly for 3 seconds until it reaches about 3.6 m/s^2, at which point it stays constant for another 4 seconds. At this point the driver pulls back off the gas and acceleration decreases linearly for 3 seconds until it is zero again. At this point the car moves with constant velocity. a) How fast is the car going at the when the driver pulls back on the gas? Answer in m/s and miles/hour. b) How fast is the car going when it starts moving at constant velocity? Answer in m/s and miles/hour. c) Compare with your own experiences driving, and/or do a little Internet research. Does this seem reasonable? Excessively fast? Excessively slow? Cite anything you look up. d) Sketch graphs for acceleration, velocity and position as functions of time.
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