34. On a freeway entrance ramp, you accelerate your 1200-kg car from 5 m/s to 20 m/s over 500 m. Having an open lane, you continue to accelerate at the same (constant) rate for another 500 m. Is your final speed 35 m/s, less than 35 m/s, or greater than 35 m/s?..

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 49P: A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity...
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Vmax
In a laboratory experiment, a sphere of diameter
8.0 mm is released from rest at t = 0 at the surface of
honey in a jar, and the sphere's downward speed v
when it travels in the honey is found to be given by
v = Vmax (1 - e-t/T), where
0.040 m/s and
T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw
graphs for v(t) and a(t) for the time interval 0 to 2.0 s.
(c) Obtain an expression for x(t), choosing the positive
x axis as downward, and draw the graph for this func-
tion. (d) Use your x(t) graph to determine the time
interval needed for the sphere to reach the bottom of the
container if the surface of the honey is 0.10 m above the
bottom of the jar. ...
=
Transcribed Image Text:Vmax In a laboratory experiment, a sphere of diameter 8.0 mm is released from rest at t = 0 at the surface of honey in a jar, and the sphere's downward speed v when it travels in the honey is found to be given by v = Vmax (1 - e-t/T), where 0.040 m/s and T = 0.50 s. (a) Obtain an expression for a(t). (b) Draw graphs for v(t) and a(t) for the time interval 0 to 2.0 s. (c) Obtain an expression for x(t), choosing the positive x axis as downward, and draw the graph for this func- tion. (d) Use your x(t) graph to determine the time interval needed for the sphere to reach the bottom of the container if the surface of the honey is 0.10 m above the bottom of the jar. ... =
34. On a freeway entrance ramp, you accelerate your
1200-kg car from 5 m/s to 20 m/s over 500 m. Having
an open lane, you continue to accelerate at the same
(constant) rate for another 500 m. Is your final speed
35 m/s, less than 35 m/s, or greater than 35 m/s?.
Transcribed Image Text:34. On a freeway entrance ramp, you accelerate your 1200-kg car from 5 m/s to 20 m/s over 500 m. Having an open lane, you continue to accelerate at the same (constant) rate for another 500 m. Is your final speed 35 m/s, less than 35 m/s, or greater than 35 m/s?.
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